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Finding the Fourth Proportional to 76,843.80, 106,044.92 and 42,854.44

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Solution

The fourth proportional to 76,843.80, 106,044.92 and 42,854.44 is: 59,139.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,843.80 : 106,044.92 = 42,854.44 : x
  2. Step 2: Convert to fraction form
    76,843.80/106,044.92 = 42,854.44/x
  3. Step 3: Cross multiply
    76,843.80x = 106,044.92 × 42,854.44
  4. Step 4: Simplify right side
    76,843.80x = 4,544,495,661.44
  5. Step 5: Solve for x
    x = 4,544,495,661.44/76,843.80
  6. Step 6: Final answer
    x = 59,139.39

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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.