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Finding the Fourth Proportional to 157,210, 216,948.48 and 85,589.84

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Solution

The fourth proportional to 157,210, 216,948.48 and 85,589.84 is: 118,113.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,210 : 216,948.48 = 85,589.84 : x
  2. Step 2: Convert to fraction form
    157,210/216,948.48 = 85,589.84/x
  3. Step 3: Cross multiply
    157,210x = 216,948.48 × 85,589.84
  4. Step 4: Simplify right side
    157,210x = 18,568,585,691.44
  5. Step 5: Solve for x
    x = 18,568,585,691.44/157,210
  6. Step 6: Final answer
    x = 118,113.26

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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.