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Finding the Fourth Proportional to 81,510.96, 112,508.64 and 52,829.64

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Solution

The fourth proportional to 81,510.96, 112,508.64 and 52,829.64 is: 72,920.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,510.96 : 112,508.64 = 52,829.64 : x
  2. Step 2: Convert to fraction form
    81,510.96/112,508.64 = 52,829.64/x
  3. Step 3: Cross multiply
    81,510.96x = 112,508.64 × 52,829.64
  4. Step 4: Simplify right side
    81,510.96x = 5,943,790,948.09
  5. Step 5: Solve for x
    x = 5,943,790,948.09/81,510.96
  6. Step 6: Final answer
    x = 72,920.14

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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.