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Finding the Fourth Proportional to 52,074, 78,124.32 and 15,138

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Solution

The fourth proportional to 52,074, 78,124.32 and 15,138 is: 22,710.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,074 : 78,124.32 = 15,138 : x
  2. Step 2: Convert to fraction form
    52,074/78,124.32 = 15,138/x
  3. Step 3: Cross multiply
    52,074x = 78,124.32 × 15,138
  4. Step 4: Simplify right side
    52,074x = 1,182,645,956.16
  5. Step 5: Solve for x
    x = 1,182,645,956.16/52,074
  6. Step 6: Final answer
    x = 22,710.87

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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.