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Finding the Fourth Proportional to 103,377, 142,682.48 and 63,082.12

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Solution

The fourth proportional to 103,377, 142,682.48 and 63,082.12 is: 87,066.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,377 : 142,682.48 = 63,082.12 : x
  2. Step 2: Convert to fraction form
    103,377/142,682.48 = 63,082.12/x
  3. Step 3: Cross multiply
    103,377x = 142,682.48 × 63,082.12
  4. Step 4: Simplify right side
    103,377x = 9,000,713,325.26
  5. Step 5: Solve for x
    x = 9,000,713,325.26/103,377
  6. Step 6: Final answer
    x = 87,066.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.