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Finding the Fourth Proportional to 115,287.81, 172,965.13 and 47,807.31

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Solution

The fourth proportional to 115,287.81, 172,965.13 and 47,807.31 is: 71,724.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,287.81 : 172,965.13 = 47,807.31 : x
  2. Step 2: Convert to fraction form
    115,287.81/172,965.13 = 47,807.31/x
  3. Step 3: Cross multiply
    115,287.81x = 172,965.13 × 47,807.31
  4. Step 4: Simplify right side
    115,287.81x = 8,268,997,589.10
  5. Step 5: Solve for x
    x = 8,268,997,589.10/115,287.81
  6. Step 6: Final answer
    x = 71,724.82

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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.