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Finding the Fourth Proportional to 147,631.60, 221,479.80 and 47,774.80

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Solution

The fourth proportional to 147,631.60, 221,479.80 and 47,774.80 is: 71,672.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,631.60 : 221,479.80 = 47,774.80 : x
  2. Step 2: Convert to fraction form
    147,631.60/221,479.80 = 47,774.80/x
  3. Step 3: Cross multiply
    147,631.60x = 221,479.80 × 47,774.80
  4. Step 4: Simplify right side
    147,631.60x = 10,581,153,149.04
  5. Step 5: Solve for x
    x = 10,581,153,149.04/147,631.60
  6. Step 6: Final answer
    x = 71,672.68

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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.