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Finding the Fourth Proportional to 83,485.77, 115,207.83 and 47,668.79

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Solution

The fourth proportional to 83,485.77, 115,207.83 and 47,668.79 is: 65,781.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,485.77 : 115,207.83 = 47,668.79 : x
  2. Step 2: Convert to fraction form
    83,485.77/115,207.83 = 47,668.79/x
  3. Step 3: Cross multiply
    83,485.77x = 115,207.83 × 47,668.79
  4. Step 4: Simplify right side
    83,485.77x = 5,491,817,278.59
  5. Step 5: Solve for x
    x = 5,491,817,278.59/83,485.77
  6. Step 6: Final answer
    x = 65,781.48

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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.