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Finding the Fourth Proportional to 157,734.72, 217,911.36 and 103,416

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Solution

The fourth proportional to 157,734.72, 217,911.36 and 103,416 is: 142,869.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,734.72 : 217,911.36 = 103,416 : x
  2. Step 2: Convert to fraction form
    157,734.72/217,911.36 = 103,416/x
  3. Step 3: Cross multiply
    157,734.72x = 217,911.36 × 103,416
  4. Step 4: Simplify right side
    157,734.72x = 22,535,521,205.76
  5. Step 5: Solve for x
    x = 22,535,521,205.76/157,734.72
  6. Step 6: Final answer
    x = 142,869.76

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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.