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Finding the Fourth Proportional to 102,446, 141,365.10 and 57,119.68

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Solution

The fourth proportional to 102,446, 141,365.10 and 57,119.68 is: 78,819.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,446 : 141,365.10 = 57,119.68 : x
  2. Step 2: Convert to fraction form
    102,446/141,365.10 = 57,119.68/x
  3. Step 3: Cross multiply
    102,446x = 141,365.10 × 57,119.68
  4. Step 4: Simplify right side
    102,446x = 8,074,729,275.17
  5. Step 5: Solve for x
    x = 8,074,729,275.17/102,446
  6. Step 6: Final answer
    x = 78,819.37

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1.5x scale

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.