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Finding the Fourth Proportional to 81,360, 112,285.44 and 47,854.08

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Solution

The fourth proportional to 81,360, 112,285.44 and 47,854.08 is: 66,043.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,360 : 112,285.44 = 47,854.08 : x
  2. Step 2: Convert to fraction form
    81,360/112,285.44 = 47,854.08/x
  3. Step 3: Cross multiply
    81,360x = 112,285.44 × 47,854.08
  4. Step 4: Simplify right side
    81,360x = 5,373,316,428.60
  5. Step 5: Solve for x
    x = 5,373,316,428.60/81,360
  6. Step 6: Final answer
    x = 66,043.71

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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.