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Finding the Fourth Proportional to 157,278.81, 217,047.24 and 85,658.78

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Solution

The fourth proportional to 157,278.81, 217,047.24 and 85,658.78 is: 118,210.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,278.81 : 217,047.24 = 85,658.78 : x
  2. Step 2: Convert to fraction form
    157,278.81/217,047.24 = 85,658.78/x
  3. Step 3: Cross multiply
    157,278.81x = 217,047.24 × 85,658.78
  4. Step 4: Simplify right side
    157,278.81x = 18,592,002,323.39
  5. Step 5: Solve for x
    x = 18,592,002,323.39/157,278.81
  6. Step 6: Final answer
    x = 118,210.47

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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.