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Finding the Fourth Proportional to 157,456.20, 217,284.50 and 85,835.08

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Solution

The fourth proportional to 157,456.20, 217,284.50 and 85,835.08 is: 118,449.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,456.20 : 217,284.50 = 85,835.08 : x
  2. Step 2: Convert to fraction form
    157,456.20/217,284.50 = 85,835.08/x
  3. Step 3: Cross multiply
    157,456.20x = 217,284.50 × 85,835.08
  4. Step 4: Simplify right side
    157,456.20x = 18,650,632,440.26
  5. Step 5: Solve for x
    x = 18,650,632,440.26/157,456.20
  6. Step 6: Final answer
    x = 118,449.65

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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.