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Finding the Fourth Proportional to 157,278.91, 217,047.37 and 85,658.88

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Solution

The fourth proportional to 157,278.91, 217,047.37 and 85,658.88 is: 118,210.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,278.91 : 217,047.37 = 85,658.88 : x
  2. Step 2: Convert to fraction form
    157,278.91/217,047.37 = 85,658.88/x
  3. Step 3: Cross multiply
    157,278.91x = 217,047.37 × 85,658.88
  4. Step 4: Simplify right side
    157,278.91x = 18,592,034,621.15
  5. Step 5: Solve for x
    x = 18,592,034,621.15/157,278.91
  6. Step 6: Final answer
    x = 118,210.60

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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.