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Finding the Fourth Proportional to 157,378.59, 217,179.63 and 85,759.20

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Solution

The fourth proportional to 157,378.59, 217,179.63 and 85,759.20 is: 118,346.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,378.59 : 217,179.63 = 85,759.20 : x
  2. Step 2: Convert to fraction form
    157,378.59/217,179.63 = 85,759.20/x
  3. Step 3: Cross multiply
    157,378.59x = 217,179.63 × 85,759.20
  4. Step 4: Simplify right side
    157,378.59x = 18,625,151,325.10
  5. Step 5: Solve for x
    x = 18,625,151,325.10/157,378.59
  6. Step 6: Final answer
    x = 118,346.16

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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.