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Finding the Fourth Proportional to 81,497.73, 112,460.09 and 45,686.55

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Solution

The fourth proportional to 81,497.73, 112,460.09 and 45,686.55 is: 63,043.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,497.73 : 112,460.09 = 45,686.55 : x
  2. Step 2: Convert to fraction form
    81,497.73/112,460.09 = 45,686.55/x
  3. Step 3: Cross multiply
    81,497.73x = 112,460.09 × 45,686.55
  4. Step 4: Simplify right side
    81,497.73x = 5,137,913,296.36
  5. Step 5: Solve for x
    x = 5,137,913,296.36/81,497.73
  6. Step 6: Final answer
    x = 63,043.64

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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.