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Finding the Fourth Proportional to 157,454.16, 217,288.92 and 85,835.34

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Solution

The fourth proportional to 157,454.16, 217,288.92 and 85,835.34 is: 118,453.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,454.16 : 217,288.92 = 85,835.34 : x
  2. Step 2: Convert to fraction form
    157,454.16/217,288.92 = 85,835.34/x
  3. Step 3: Cross multiply
    157,454.16x = 217,288.92 × 85,835.34
  4. Step 4: Simplify right side
    157,454.16x = 18,651,068,326.43
  5. Step 5: Solve for x
    x = 18,651,068,326.43/157,454.16
  6. Step 6: Final answer
    x = 118,453.96

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1.5x scale

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.