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Finding the Fourth Proportional to 84,877.62, 117,140 and 47,151.87

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Solution

The fourth proportional to 84,877.62, 117,140 and 47,151.87 is: 65,074.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,877.62 : 117,140 = 47,151.87 : x
  2. Step 2: Convert to fraction form
    84,877.62/117,140 = 47,151.87/x
  3. Step 3: Cross multiply
    84,877.62x = 117,140 × 47,151.87
  4. Step 4: Simplify right side
    84,877.62x = 5,523,370,051.80
  5. Step 5: Solve for x
    x = 5,523,370,051.80/84,877.62
  6. Step 6: Final answer
    x = 65,074.52

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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.