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Finding the Fourth Proportional to 141,412.80, 212,188.32 and 66,540.38

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Solution

The fourth proportional to 141,412.80, 212,188.32 and 66,540.38 is: 99,843.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,412.80 : 212,188.32 = 66,540.38 : x
  2. Step 2: Convert to fraction form
    141,412.80/212,188.32 = 66,540.38/x
  3. Step 3: Cross multiply
    141,412.80x = 212,188.32 × 66,540.38
  4. Step 4: Simplify right side
    141,412.80x = 14,119,091,974.83
  5. Step 5: Solve for x
    x = 14,119,091,974.83/141,412.80
  6. Step 6: Final answer
    x = 99,843.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.