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Finding the Fourth Proportional to 131,432, 181,376.40 and 71,816

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Solution

The fourth proportional to 131,432, 181,376.40 and 71,816 is: 99,106.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,432 : 181,376.40 = 71,816 : x
  2. Step 2: Convert to fraction form
    131,432/181,376.40 = 71,816/x
  3. Step 3: Cross multiply
    131,432x = 181,376.40 × 71,816
  4. Step 4: Simplify right side
    131,432x = 13,025,727,542.40
  5. Step 5: Solve for x
    x = 13,025,727,542.40/131,432
  6. Step 6: Final answer
    x = 99,106.21

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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.