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Finding the Fourth Proportional to 83,707.88, 115,484.32 and 47,400.98

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Solution

The fourth proportional to 83,707.88, 115,484.32 and 47,400.98 is: 65,394.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,707.88 : 115,484.32 = 47,400.98 : x
  2. Step 2: Convert to fraction form
    83,707.88/115,484.32 = 47,400.98/x
  3. Step 3: Cross multiply
    83,707.88x = 115,484.32 × 47,400.98
  4. Step 4: Simplify right side
    83,707.88x = 5,474,070,494.60
  5. Step 5: Solve for x
    x = 5,474,070,494.60/83,707.88
  6. Step 6: Final answer
    x = 65,394.92

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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.