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Finding the Fourth Proportional to 147,276, 220,909.14 and 47,441.88

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Solution

The fourth proportional to 147,276, 220,909.14 and 47,441.88 is: 71,161.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,276 : 220,909.14 = 47,441.88 : x
  2. Step 2: Convert to fraction form
    147,276/220,909.14 = 47,441.88/x
  3. Step 3: Cross multiply
    147,276x = 220,909.14 × 47,441.88
  4. Step 4: Simplify right side
    147,276x = 10,480,344,910.78
  5. Step 5: Solve for x
    x = 10,480,344,910.78/147,276
  6. Step 6: Final answer
    x = 71,161.25

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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.