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Finding the Fourth Proportional to 81,849.60, 112,798.08 and 71,712

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Solution

The fourth proportional to 81,849.60, 112,798.08 and 71,712 is: 98,827.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,849.60 : 112,798.08 = 71,712 : x
  2. Step 2: Convert to fraction form
    81,849.60/112,798.08 = 71,712/x
  3. Step 3: Cross multiply
    81,849.60x = 112,798.08 × 71,712
  4. Step 4: Simplify right side
    81,849.60x = 8,088,975,912.96
  5. Step 5: Solve for x
    x = 8,088,975,912.96/81,849.60
  6. Step 6: Final answer
    x = 98,827.31

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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.