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Finding the Fourth Proportional to 81,534.76, 112,519.08 and 49,264.87

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Solution

The fourth proportional to 81,534.76, 112,519.08 and 49,264.87 is: 67,986.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,534.76 : 112,519.08 = 49,264.87 : x
  2. Step 2: Convert to fraction form
    81,534.76/112,519.08 = 49,264.87/x
  3. Step 3: Cross multiply
    81,534.76x = 112,519.08 × 49,264.87
  4. Step 4: Simplify right side
    81,534.76x = 5,543,237,848.72
  5. Step 5: Solve for x
    x = 5,543,237,848.72/81,534.76
  6. Step 6: Final answer
    x = 67,986.19

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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.