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Finding the Fourth Proportional to 141,756, 212,560.17 and 66,856.04

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Solution

The fourth proportional to 141,756, 212,560.17 and 66,856.04 is: 100,249.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,756 : 212,560.17 = 66,856.04 : x
  2. Step 2: Convert to fraction form
    141,756/212,560.17 = 66,856.04/x
  3. Step 3: Cross multiply
    141,756x = 212,560.17 × 66,856.04
  4. Step 4: Simplify right side
    141,756x = 14,210,931,227.93
  5. Step 5: Solve for x
    x = 14,210,931,227.93/141,756
  6. Step 6: Final answer
    x = 100,249.24

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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.