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Finding the Fourth Proportional to 115,041.78, 172,562.70 and 31,935.78

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Solution

The fourth proportional to 115,041.78, 172,562.70 and 31,935.78 is: 47,903.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,041.78 : 172,562.70 = 31,935.78 : x
  2. Step 2: Convert to fraction form
    115,041.78/172,562.70 = 31,935.78/x
  3. Step 3: Cross multiply
    115,041.78x = 172,562.70 × 31,935.78
  4. Step 4: Simplify right side
    115,041.78x = 5,510,924,423.41
  5. Step 5: Solve for x
    x = 5,510,924,423.41/115,041.78
  6. Step 6: Final answer
    x = 47,903.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.