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Finding the Fourth Proportional to 52,084, 78,139.32 and 15,148

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Solution

The fourth proportional to 52,084, 78,139.32 and 15,148 is: 22,725.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,084 : 78,139.32 = 15,148 : x
  2. Step 2: Convert to fraction form
    52,084/78,139.32 = 15,148/x
  3. Step 3: Cross multiply
    52,084x = 78,139.32 × 15,148
  4. Step 4: Simplify right side
    52,084x = 1,183,654,419.36
  5. Step 5: Solve for x
    x = 1,183,654,419.36/52,084
  6. Step 6: Final answer
    x = 22,725.87

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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.