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Finding the Fourth Proportional to 52,648.80, 78,971.52 and 21,043.20

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Solution

The fourth proportional to 52,648.80, 78,971.52 and 21,043.20 is: 31,564.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,648.80 : 78,971.52 = 21,043.20 : x
  2. Step 2: Convert to fraction form
    52,648.80/78,971.52 = 21,043.20/x
  3. Step 3: Cross multiply
    52,648.80x = 78,971.52 × 21,043.20
  4. Step 4: Simplify right side
    52,648.80x = 1,661,813,489.66
  5. Step 5: Solve for x
    x = 1,661,813,489.66/52,648.80
  6. Step 6: Final answer
    x = 31,564.13

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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.