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Finding the Fourth Proportional to 212,909.10, 319,217.85 and 100,643.10

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Solution

The fourth proportional to 212,909.10, 319,217.85 and 100,643.10 is: 150,895.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,909.10 : 319,217.85 = 100,643.10 : x
  2. Step 2: Convert to fraction form
    212,909.10/319,217.85 = 100,643.10/x
  3. Step 3: Cross multiply
    212,909.10x = 319,217.85 × 100,643.10
  4. Step 4: Simplify right side
    212,909.10x = 32,127,073,999.34
  5. Step 5: Solve for x
    x = 32,127,073,999.34/212,909.10
  6. Step 6: Final answer
    x = 150,895.73

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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.