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Finding the Fourth Proportional to 157,172.62, 216,898 and 85,552.42

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Solution

The fourth proportional to 157,172.62, 216,898 and 85,552.42 is: 118,062.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,172.62 : 216,898 = 85,552.42 : x
  2. Step 2: Convert to fraction form
    157,172.62/216,898 = 85,552.42/x
  3. Step 3: Cross multiply
    157,172.62x = 216,898 × 85,552.42
  4. Step 4: Simplify right side
    157,172.62x = 18,556,148,793.16
  5. Step 5: Solve for x
    x = 18,556,148,793.16/157,172.62
  6. Step 6: Final answer
    x = 118,062.22

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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.