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Finding the Fourth Proportional to 81,748.74, 112,813.65 and 47,759.16

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Solution

The fourth proportional to 81,748.74, 112,813.65 and 47,759.16 is: 65,907.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,748.74 : 112,813.65 = 47,759.16 : x
  2. Step 2: Convert to fraction form
    81,748.74/112,813.65 = 47,759.16/x
  3. Step 3: Cross multiply
    81,748.74x = 112,813.65 × 47,759.16
  4. Step 4: Simplify right side
    81,748.74x = 5,387,885,160.53
  5. Step 5: Solve for x
    x = 5,387,885,160.53/81,748.74
  6. Step 6: Final answer
    x = 65,907.87

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1.5x scale

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.