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Finding the Fourth Proportional to 67,117.68, 100,679.58 and 47,484

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Solution

The fourth proportional to 67,117.68, 100,679.58 and 47,484 is: 71,228.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,117.68 : 100,679.58 = 47,484 : x
  2. Step 2: Convert to fraction form
    67,117.68/100,679.58 = 47,484/x
  3. Step 3: Cross multiply
    67,117.68x = 100,679.58 × 47,484
  4. Step 4: Simplify right side
    67,117.68x = 4,780,669,176.72
  5. Step 5: Solve for x
    x = 4,780,669,176.72/67,117.68
  6. Step 6: Final answer
    x = 71,228.16

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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.