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Finding the Fourth Proportional to 157,098.42, 216,794.82 and 85,478.73

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Solution

The fourth proportional to 157,098.42, 216,794.82 and 85,478.73 is: 117,960.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,098.42 : 216,794.82 = 85,478.73 : x
  2. Step 2: Convert to fraction form
    157,098.42/216,794.82 = 85,478.73/x
  3. Step 3: Cross multiply
    157,098.42x = 216,794.82 × 85,478.73
  4. Step 4: Simplify right side
    157,098.42x = 18,531,345,884.18
  5. Step 5: Solve for x
    x = 18,531,345,884.18/157,098.42
  6. Step 6: Final answer
    x = 117,960.10

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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.