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Finding the Fourth Proportional to 177,946.40, 266,692.80 and 72,646.40

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Solution

The fourth proportional to 177,946.40, 266,692.80 and 72,646.40 is: 108,877.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,946.40 : 266,692.80 = 72,646.40 : x
  2. Step 2: Convert to fraction form
    177,946.40/266,692.80 = 72,646.40/x
  3. Step 3: Cross multiply
    177,946.40x = 266,692.80 × 72,646.40
  4. Step 4: Simplify right side
    177,946.40x = 19,374,271,825.92
  5. Step 5: Solve for x
    x = 19,374,271,825.92/177,946.40
  6. Step 6: Final answer
    x = 108,877.01

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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.