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Finding the Fourth Proportional to 81,833.64, 112,892.28 and 53,151.26

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Solution

The fourth proportional to 81,833.64, 112,892.28 and 53,151.26 is: 73,323.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,833.64 : 112,892.28 = 53,151.26 : x
  2. Step 2: Convert to fraction form
    81,833.64/112,892.28 = 53,151.26/x
  3. Step 3: Cross multiply
    81,833.64x = 112,892.28 × 53,151.26
  4. Step 4: Simplify right side
    81,833.64x = 6,000,366,926.27
  5. Step 5: Solve for x
    x = 6,000,366,926.27/81,833.64
  6. Step 6: Final answer
    x = 73,323.96

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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.