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Finding the Fourth Proportional to 157,225.23, 216,974.71 and 85,609.17

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Solution

The fourth proportional to 157,225.23, 216,974.71 and 85,609.17 is: 118,142.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,225.23 : 216,974.71 = 85,609.17 : x
  2. Step 2: Convert to fraction form
    157,225.23/216,974.71 = 85,609.17/x
  3. Step 3: Cross multiply
    157,225.23x = 216,974.71 × 85,609.17
  4. Step 4: Simplify right side
    157,225.23x = 18,575,024,406.04
  5. Step 5: Solve for x
    x = 18,575,024,406.04/157,225.23
  6. Step 6: Final answer
    x = 118,142.77

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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.