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Finding the Fourth Proportional to 81,468.70, 112,431.43 and 45,661.02

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Solution

The fourth proportional to 81,468.70, 112,431.43 and 45,661.02 is: 63,014.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,468.70 : 112,431.43 = 45,661.02 : x
  2. Step 2: Convert to fraction form
    81,468.70/112,431.43 = 45,661.02/x
  3. Step 3: Cross multiply
    81,468.70x = 112,431.43 × 45,661.02
  4. Step 4: Simplify right side
    81,468.70x = 5,133,733,773.86
  5. Step 5: Solve for x
    x = 5,133,733,773.86/81,468.70
  6. Step 6: Final answer
    x = 63,014.80

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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.