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Finding the Fourth Proportional to 102,404.88, 141,313.32 and 57,690

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Solution

The fourth proportional to 102,404.88, 141,313.32 and 57,690 is: 79,609.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,404.88 : 141,313.32 = 57,690 : x
  2. Step 2: Convert to fraction form
    102,404.88/141,313.32 = 57,690/x
  3. Step 3: Cross multiply
    102,404.88x = 141,313.32 × 57,690
  4. Step 4: Simplify right side
    102,404.88x = 8,152,365,430.80
  5. Step 5: Solve for x
    x = 8,152,365,430.80/102,404.88
  6. Step 6: Final answer
    x = 79,609.15

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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.