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Finding the Fourth Proportional to 125,082, 187,593.48 and 40,820.40

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Solution

The fourth proportional to 125,082, 187,593.48 and 40,820.40 is: 61,220.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,082 : 187,593.48 = 40,820.40 : x
  2. Step 2: Convert to fraction form
    125,082/187,593.48 = 40,820.40/x
  3. Step 3: Cross multiply
    125,082x = 187,593.48 × 40,820.40
  4. Step 4: Simplify right side
    125,082x = 7,657,640,890.99
  5. Step 5: Solve for x
    x = 7,657,640,890.99/125,082
  6. Step 6: Final answer
    x = 61,220.97

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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.