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Finding the Fourth Proportional to 81,658.29, 112,685.52 and 45,849.81

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Solution

The fourth proportional to 81,658.29, 112,685.52 and 45,849.81 is: 63,271.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,658.29 : 112,685.52 = 45,849.81 : x
  2. Step 2: Convert to fraction form
    81,658.29/112,685.52 = 45,849.81/x
  3. Step 3: Cross multiply
    81,658.29x = 112,685.52 × 45,849.81
  4. Step 4: Simplify right side
    81,658.29x = 5,166,610,276.26
  5. Step 5: Solve for x
    x = 5,166,610,276.26/81,658.29
  6. Step 6: Final answer
    x = 63,271.10

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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.