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Finding the Fourth Proportional to 157,257.60, 217,018.08 and 85,639.02

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Solution

The fourth proportional to 157,257.60, 217,018.08 and 85,639.02 is: 118,183.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,257.60 : 217,018.08 = 85,639.02 : x
  2. Step 2: Convert to fraction form
    157,257.60/217,018.08 = 85,639.02/x
  3. Step 3: Cross multiply
    157,257.60x = 217,018.08 × 85,639.02
  4. Step 4: Simplify right side
    157,257.60x = 18,585,215,693.48
  5. Step 5: Solve for x
    x = 18,585,215,693.48/157,257.60
  6. Step 6: Final answer
    x = 118,183.26

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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.