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Finding the Fourth Proportional to 131,809.31, 181,897.01 and 71,380.04

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Solution

The fourth proportional to 131,809.31, 181,897.01 and 71,380.04 is: 98,504.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,809.31 : 181,897.01 = 71,380.04 : x
  2. Step 2: Convert to fraction form
    131,809.31/181,897.01 = 71,380.04/x
  3. Step 3: Cross multiply
    131,809.31x = 181,897.01 × 71,380.04
  4. Step 4: Simplify right side
    131,809.31x = 12,983,816,482.87
  5. Step 5: Solve for x
    x = 12,983,816,482.87/131,809.31
  6. Step 6: Final answer
    x = 98,504.55

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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.