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Finding the Fourth Proportional to 81,458.88, 112,411.41 and 47,465.25

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Solution

The fourth proportional to 81,458.88, 112,411.41 and 47,465.25 is: 65,500.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,458.88 : 112,411.41 = 47,465.25 : x
  2. Step 2: Convert to fraction form
    81,458.88/112,411.41 = 47,465.25/x
  3. Step 3: Cross multiply
    81,458.88x = 112,411.41 × 47,465.25
  4. Step 4: Simplify right side
    81,458.88x = 5,335,635,678.50
  5. Step 5: Solve for x
    x = 5,335,635,678.50/81,458.88
  6. Step 6: Final answer
    x = 65,500.97

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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.