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Finding the Fourth Proportional to 131,511.84, 181,482.96 and 71,892

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Solution

The fourth proportional to 131,511.84, 181,482.96 and 71,892 is: 99,209.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,511.84 : 181,482.96 = 71,892 : x
  2. Step 2: Convert to fraction form
    131,511.84/181,482.96 = 71,892/x
  3. Step 3: Cross multiply
    131,511.84x = 181,482.96 × 71,892
  4. Step 4: Simplify right side
    131,511.84x = 13,047,172,960.32
  5. Step 5: Solve for x
    x = 13,047,172,960.32/131,511.84
  6. Step 6: Final answer
    x = 99,209.11

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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.