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Finding the Fourth Proportional to 81,461.36, 112,423.92 and 47,468

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Solution

The fourth proportional to 81,461.36, 112,423.92 and 47,468 is: 65,510.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,461.36 : 112,423.92 = 47,468 : x
  2. Step 2: Convert to fraction form
    81,461.36/112,423.92 = 47,468/x
  3. Step 3: Cross multiply
    81,461.36x = 112,423.92 × 47,468
  4. Step 4: Simplify right side
    81,461.36x = 5,336,538,634.56
  5. Step 5: Solve for x
    x = 5,336,538,634.56/81,461.36
  6. Step 6: Final answer
    x = 65,510.06

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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.