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Finding the Fourth Proportional to 52,663.87, 78,984.11 and 15,215.75

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Solution

The fourth proportional to 52,663.87, 78,984.11 and 15,215.75 is: 22,820.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,663.87 : 78,984.11 = 15,215.75 : x
  2. Step 2: Convert to fraction form
    52,663.87/78,984.11 = 15,215.75/x
  3. Step 3: Cross multiply
    52,663.87x = 78,984.11 × 15,215.75
  4. Step 4: Simplify right side
    52,663.87x = 1,201,802,411.04
  5. Step 5: Solve for x
    x = 1,201,802,411.04/52,663.87
  6. Step 6: Final answer
    x = 22,820.24

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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.