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Finding the Fourth Proportional to 81,410.59, 112,346.91 and 47,442.37

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Solution

The fourth proportional to 81,410.59, 112,346.91 and 47,442.37 is: 65,470.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,410.59 : 112,346.91 = 47,442.37 : x
  2. Step 2: Convert to fraction form
    81,410.59/112,346.91 = 47,442.37/x
  3. Step 3: Cross multiply
    81,410.59x = 112,346.91 × 47,442.37
  4. Step 4: Simplify right side
    81,410.59x = 5,330,003,672.58
  5. Step 5: Solve for x
    x = 5,330,003,672.58/81,410.59
  6. Step 6: Final answer
    x = 65,470.64

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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.