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Finding the Fourth Proportional to 78,117.42, 117,176.10 and 18,952.56

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Solution

The fourth proportional to 78,117.42, 117,176.10 and 18,952.56 is: 28,428.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,117.42 : 117,176.10 = 18,952.56 : x
  2. Step 2: Convert to fraction form
    78,117.42/117,176.10 = 18,952.56/x
  3. Step 3: Cross multiply
    78,117.42x = 117,176.10 × 18,952.56
  4. Step 4: Simplify right side
    78,117.42x = 2,220,787,065.82
  5. Step 5: Solve for x
    x = 2,220,787,065.82/78,117.42
  6. Step 6: Final answer
    x = 28,428.83

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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.