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Finding the Fourth Proportional to 157,314.60, 217,086.60 and 85,694.40

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Solution

The fourth proportional to 157,314.60, 217,086.60 and 85,694.40 is: 118,254.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,314.60 : 217,086.60 = 85,694.40 : x
  2. Step 2: Convert to fraction form
    157,314.60/217,086.60 = 85,694.40/x
  3. Step 3: Cross multiply
    157,314.60x = 217,086.60 × 85,694.40
  4. Step 4: Simplify right side
    157,314.60x = 18,603,105,935.04
  5. Step 5: Solve for x
    x = 18,603,105,935.04/157,314.60
  6. Step 6: Final answer
    x = 118,254.16

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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.