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Finding the Fourth Proportional to 157,498.46, 217,343.14 and 85,879.88

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Solution

The fourth proportional to 157,498.46, 217,343.14 and 85,879.88 is: 118,511.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,498.46 : 217,343.14 = 85,879.88 : x
  2. Step 2: Convert to fraction form
    157,498.46/217,343.14 = 85,879.88/x
  3. Step 3: Cross multiply
    157,498.46x = 217,343.14 × 85,879.88
  4. Step 4: Simplify right side
    157,498.46x = 18,665,402,782.02
  5. Step 5: Solve for x
    x = 18,665,402,782.02/157,498.46
  6. Step 6: Final answer
    x = 118,511.65

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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.