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Finding the Fourth Proportional to 157,062.80, 216,748.68 and 85,444.76

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Solution

The fourth proportional to 157,062.80, 216,748.68 and 85,444.76 is: 117,914.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,062.80 : 216,748.68 = 85,444.76 : x
  2. Step 2: Convert to fraction form
    157,062.80/216,748.68 = 85,444.76/x
  3. Step 3: Cross multiply
    157,062.80x = 216,748.68 × 85,444.76
  4. Step 4: Simplify right side
    157,062.80x = 18,520,038,942.92
  5. Step 5: Solve for x
    x = 18,520,038,942.92/157,062.80
  6. Step 6: Final answer
    x = 117,914.87

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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.