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Finding the Fourth Proportional to 54,332.25, 74,978.79 and 31,686.96

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Solution

The fourth proportional to 54,332.25, 74,978.79 and 31,686.96 is: 43,728.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,332.25 : 74,978.79 = 31,686.96 : x
  2. Step 2: Convert to fraction form
    54,332.25/74,978.79 = 31,686.96/x
  3. Step 3: Cross multiply
    54,332.25x = 74,978.79 × 31,686.96
  4. Step 4: Simplify right side
    54,332.25x = 2,375,849,919.58
  5. Step 5: Solve for x
    x = 2,375,849,919.58/54,332.25
  6. Step 6: Final answer
    x = 43,728.17

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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.