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Finding the Fourth Proportional to 81,647.57, 112,666.32 and 47,659.02

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Solution

The fourth proportional to 81,647.57, 112,666.32 and 47,659.02 is: 65,765.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,647.57 : 112,666.32 = 47,659.02 : x
  2. Step 2: Convert to fraction form
    81,647.57/112,666.32 = 47,659.02/x
  3. Step 3: Cross multiply
    81,647.57x = 112,666.32 × 47,659.02
  4. Step 4: Simplify right side
    81,647.57x = 5,369,566,398.21
  5. Step 5: Solve for x
    x = 5,369,566,398.21/81,647.57
  6. Step 6: Final answer
    x = 65,765.17

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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.