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Finding the Fourth Proportional to 133,793,128.40, 200,689,692.60 and 99,780,904.40

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Solution

The fourth proportional to 133,793,128.40, 200,689,692.60 and 99,780,904.40 is: 149,671,356.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,793,128.40 : 200,689,692.60 = 99,780,904.40 : x
  2. Step 2: Convert to fraction form
    133,793,128.40/200,689,692.60 = 99,780,904.40/x
  3. Step 3: Cross multiply
    133,793,128.40x = 200,689,692.60 × 99,780,904.40
  4. Step 4: Simplify right side
    133,793,128.40x = 20,024,999,031,385,988
  5. Step 5: Solve for x
    x = 20,024,999,031,385,988/133,793,128.40
  6. Step 6: Final answer
    x = 149,671,356.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.