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Finding the Fourth Proportional to 137,465.80, 206,100.30 and 53,153.80

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Solution

The fourth proportional to 137,465.80, 206,100.30 and 53,153.80 is: 79,692.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,465.80 : 206,100.30 = 53,153.80 : x
  2. Step 2: Convert to fraction form
    137,465.80/206,100.30 = 53,153.80/x
  3. Step 3: Cross multiply
    137,465.80x = 206,100.30 × 53,153.80
  4. Step 4: Simplify right side
    137,465.80x = 10,955,014,126.14
  5. Step 5: Solve for x
    x = 10,955,014,126.14/137,465.80
  6. Step 6: Final answer
    x = 79,692.65

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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.