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Finding the Fourth Proportional to 80,866, 111,595.08 and 47,332

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Solution

The fourth proportional to 80,866, 111,595.08 and 47,332 is: 65,318.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,866 : 111,595.08 = 47,332 : x
  2. Step 2: Convert to fraction form
    80,866/111,595.08 = 47,332/x
  3. Step 3: Cross multiply
    80,866x = 111,595.08 × 47,332
  4. Step 4: Simplify right side
    80,866x = 5,282,018,326.56
  5. Step 5: Solve for x
    x = 5,282,018,326.56/80,866
  6. Step 6: Final answer
    x = 65,318.16

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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.