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Finding the Fourth Proportional to 103,715.97, 143,130.91 and 63,429

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Solution

The fourth proportional to 103,715.97, 143,130.91 and 63,429 is: 87,533.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,715.97 : 143,130.91 = 63,429 : x
  2. Step 2: Convert to fraction form
    103,715.97/143,130.91 = 63,429/x
  3. Step 3: Cross multiply
    103,715.97x = 143,130.91 × 63,429
  4. Step 4: Simplify right side
    103,715.97x = 9,078,650,490.39
  5. Step 5: Solve for x
    x = 9,078,650,490.39/103,715.97
  6. Step 6: Final answer
    x = 87,533.78

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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.