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Finding the Fourth Proportional to 157,089.60, 216,786.24 and 85,472.64

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Solution

The fourth proportional to 157,089.60, 216,786.24 and 85,472.64 is: 117,953.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,089.60 : 216,786.24 = 85,472.64 : x
  2. Step 2: Convert to fraction form
    157,089.60/216,786.24 = 85,472.64/x
  3. Step 3: Cross multiply
    157,089.60x = 216,786.24 × 85,472.64
  4. Step 4: Simplify right side
    157,089.60x = 18,529,292,248.47
  5. Step 5: Solve for x
    x = 18,529,292,248.47/157,089.60
  6. Step 6: Final answer
    x = 117,953.65

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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.