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Finding the Fourth Proportional to 103,716.97, 143,132.29 and 63,430

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Solution

The fourth proportional to 103,716.97, 143,132.29 and 63,430 is: 87,535.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,716.97 : 143,132.29 = 63,430 : x
  2. Step 2: Convert to fraction form
    103,716.97/143,132.29 = 63,430/x
  3. Step 3: Cross multiply
    103,716.97x = 143,132.29 × 63,430
  4. Step 4: Simplify right side
    103,716.97x = 9,078,881,154.70
  5. Step 5: Solve for x
    x = 9,078,881,154.70/103,716.97
  6. Step 6: Final answer
    x = 87,535.16

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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.