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Finding the Fourth Proportional to 52,439, 78,671.46 and 15,503

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Solution

The fourth proportional to 52,439, 78,671.46 and 15,503 is: 23,258.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,439 : 78,671.46 = 15,503 : x
  2. Step 2: Convert to fraction form
    52,439/78,671.46 = 15,503/x
  3. Step 3: Cross multiply
    52,439x = 78,671.46 × 15,503
  4. Step 4: Simplify right side
    52,439x = 1,219,643,644.38
  5. Step 5: Solve for x
    x = 1,219,643,644.38/52,439
  6. Step 6: Final answer
    x = 23,258.33

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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.