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Finding the Fourth Proportional to 83,658.50, 115,415.80 and 47,829.26

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Solution

The fourth proportional to 83,658.50, 115,415.80 and 47,829.26 is: 65,985.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,658.50 : 115,415.80 = 47,829.26 : x
  2. Step 2: Convert to fraction form
    83,658.50/115,415.80 = 47,829.26/x
  3. Step 3: Cross multiply
    83,658.50x = 115,415.80 × 47,829.26
  4. Step 4: Simplify right side
    83,658.50x = 5,520,251,609.66
  5. Step 5: Solve for x
    x = 5,520,251,609.66/83,658.50
  6. Step 6: Final answer
    x = 65,985.55

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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.