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Finding the Fourth Proportional to 157,869.16, 217,863.72 and 86,253.04

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Solution

The fourth proportional to 157,869.16, 217,863.72 and 86,253.04 is: 119,031.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,869.16 : 217,863.72 = 86,253.04 : x
  2. Step 2: Convert to fraction form
    157,869.16/217,863.72 = 86,253.04/x
  3. Step 3: Cross multiply
    157,869.16x = 217,863.72 × 86,253.04
  4. Step 4: Simplify right side
    157,869.16x = 18,791,408,155.71
  5. Step 5: Solve for x
    x = 18,791,408,155.71/157,869.16
  6. Step 6: Final answer
    x = 119,031.53

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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.