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Finding the Fourth Proportional to 157,434.50, 217,253.25 and 85,812.98

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Solution

The fourth proportional to 157,434.50, 217,253.25 and 85,812.98 is: 118,418.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,434.50 : 217,253.25 = 85,812.98 : x
  2. Step 2: Convert to fraction form
    157,434.50/217,253.25 = 85,812.98/x
  3. Step 3: Cross multiply
    157,434.50x = 217,253.25 × 85,812.98
  4. Step 4: Simplify right side
    157,434.50x = 18,643,148,797.19
  5. Step 5: Solve for x
    x = 18,643,148,797.19/157,434.50
  6. Step 6: Final answer
    x = 118,418.45

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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.