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Finding the Fourth Proportional to 81,491.81, 112,459.11 and 47,523.86

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Solution

The fourth proportional to 81,491.81, 112,459.11 and 47,523.86 is: 65,583.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,491.81 : 112,459.11 = 47,523.86 : x
  2. Step 2: Convert to fraction form
    81,491.81/112,459.11 = 47,523.86/x
  3. Step 3: Cross multiply
    81,491.81x = 112,459.11 × 47,523.86
  4. Step 4: Simplify right side
    81,491.81x = 5,344,490,437.07
  5. Step 5: Solve for x
    x = 5,344,490,437.07/81,491.81
  6. Step 6: Final answer
    x = 65,583.16

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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.