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Finding the Fourth Proportional to 102,390.75, 141,294.69 and 57,073.68

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Solution

The fourth proportional to 102,390.75, 141,294.69 and 57,073.68 is: 78,759.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,390.75 : 141,294.69 = 57,073.68 : x
  2. Step 2: Convert to fraction form
    102,390.75/141,294.69 = 57,073.68/x
  3. Step 3: Cross multiply
    102,390.75x = 141,294.69 × 57,073.68
  4. Step 4: Simplify right side
    102,390.75x = 8,064,207,922.76
  5. Step 5: Solve for x
    x = 8,064,207,922.76/102,390.75
  6. Step 6: Final answer
    x = 78,759.14

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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.