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Finding the Fourth Proportional to 157,276.56, 217,044.13 and 85,656.53

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Solution

The fourth proportional to 157,276.56, 217,044.13 and 85,656.53 is: 118,207.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,276.56 : 217,044.13 = 85,656.53 : x
  2. Step 2: Convert to fraction form
    157,276.56/217,044.13 = 85,656.53/x
  3. Step 3: Cross multiply
    157,276.56x = 217,044.13 × 85,656.53
  4. Step 4: Simplify right side
    157,276.56x = 18,591,245,875.20
  5. Step 5: Solve for x
    x = 18,591,245,875.20/157,276.56
  6. Step 6: Final answer
    x = 118,207.35

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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.