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Finding the Fourth Proportional to 157,013.60, 216,672.57 and 85,393.53

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Solution

The fourth proportional to 157,013.60, 216,672.57 and 85,393.53 is: 117,839.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,013.60 : 216,672.57 = 85,393.53 : x
  2. Step 2: Convert to fraction form
    157,013.60/216,672.57 = 85,393.53/x
  3. Step 3: Cross multiply
    157,013.60x = 216,672.57 × 85,393.53
  4. Step 4: Simplify right side
    157,013.60x = 18,502,435,606.47
  5. Step 5: Solve for x
    x = 18,502,435,606.47/157,013.60
  6. Step 6: Final answer
    x = 117,839.70

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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.