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Finding the Fourth Proportional to 76,869.62, 106,080.24 and 42,877.24

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Solution

The fourth proportional to 76,869.62, 106,080.24 and 42,877.24 is: 59,170.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,869.62 : 106,080.24 = 42,877.24 : x
  2. Step 2: Convert to fraction form
    76,869.62/106,080.24 = 42,877.24/x
  3. Step 3: Cross multiply
    76,869.62x = 106,080.24 × 42,877.24
  4. Step 4: Simplify right side
    76,869.62x = 4,548,427,644.54
  5. Step 5: Solve for x
    x = 4,548,427,644.54/76,869.62
  6. Step 6: Final answer
    x = 59,170.68

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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.