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Finding the Fourth Proportional to 47,281.52, 70,922.54 and 12,218.76

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Solution

The fourth proportional to 47,281.52, 70,922.54 and 12,218.76 is: 18,328.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,281.52 : 70,922.54 = 12,218.76 : x
  2. Step 2: Convert to fraction form
    47,281.52/70,922.54 = 12,218.76/x
  3. Step 3: Cross multiply
    47,281.52x = 70,922.54 × 12,218.76
  4. Step 4: Simplify right side
    47,281.52x = 866,585,494.85
  5. Step 5: Solve for x
    x = 866,585,494.85/47,281.52
  6. Step 6: Final answer
    x = 18,328.21

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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.