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Finding the Fourth Proportional to 81,712, 112,808.64 and 61,805.44

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Solution

The fourth proportional to 81,712, 112,808.64 and 61,805.44 is: 85,326.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,712 : 112,808.64 = 61,805.44 : x
  2. Step 2: Convert to fraction form
    81,712/112,808.64 = 61,805.44/x
  3. Step 3: Cross multiply
    81,712x = 112,808.64 × 61,805.44
  4. Step 4: Simplify right side
    81,712x = 6,972,187,631.00
  5. Step 5: Solve for x
    x = 6,972,187,631.00/81,712
  6. Step 6: Final answer
    x = 85,326.36

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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.