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Finding the Fourth Proportional to 115,154.50, 172,731.76 and 49,490.50

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Solution

The fourth proportional to 115,154.50, 172,731.76 and 49,490.50 is: 74,235.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,154.50 : 172,731.76 = 49,490.50 : x
  2. Step 2: Convert to fraction form
    115,154.50/172,731.76 = 49,490.50/x
  3. Step 3: Cross multiply
    115,154.50x = 172,731.76 × 49,490.50
  4. Step 4: Simplify right side
    115,154.50x = 8,548,581,168.28
  5. Step 5: Solve for x
    x = 8,548,581,168.28/115,154.50
  6. Step 6: Final answer
    x = 74,235.75

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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.