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Finding the Fourth Proportional to 83,477.78, 115,176.90 and 47,660.66

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Solution

The fourth proportional to 83,477.78, 115,176.90 and 47,660.66 is: 65,758.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,477.78 : 115,176.90 = 47,660.66 : x
  2. Step 2: Convert to fraction form
    83,477.78/115,176.90 = 47,660.66/x
  3. Step 3: Cross multiply
    83,477.78x = 115,176.90 × 47,660.66
  4. Step 4: Simplify right side
    83,477.78x = 5,489,406,494.87
  5. Step 5: Solve for x
    x = 5,489,406,494.87/83,477.78
  6. Step 6: Final answer
    x = 65,758.90

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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.