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Finding the Fourth Proportional to 131,414, 181,351.32 and 71,798

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Solution

The fourth proportional to 131,414, 181,351.32 and 71,798 is: 99,081.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,414 : 181,351.32 = 71,798 : x
  2. Step 2: Convert to fraction form
    131,414/181,351.32 = 71,798/x
  3. Step 3: Cross multiply
    131,414x = 181,351.32 × 71,798
  4. Step 4: Simplify right side
    131,414x = 13,020,662,073.36
  5. Step 5: Solve for x
    x = 13,020,662,073.36/131,414
  6. Step 6: Final answer
    x = 99,081.24

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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.