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Finding the Fourth Proportional to 52,422, 78,646.32 and 15,486

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Solution

The fourth proportional to 52,422, 78,646.32 and 15,486 is: 23,232.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,422 : 78,646.32 = 15,486 : x
  2. Step 2: Convert to fraction form
    52,422/78,646.32 = 15,486/x
  3. Step 3: Cross multiply
    52,422x = 78,646.32 × 15,486
  4. Step 4: Simplify right side
    52,422x = 1,217,916,911.52
  5. Step 5: Solve for x
    x = 1,217,916,911.52/52,422
  6. Step 6: Final answer
    x = 23,232.93

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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.