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Finding the Fourth Proportional to 215,575.20, 323,411.40 and 65,822.40

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Solution

The fourth proportional to 215,575.20, 323,411.40 and 65,822.40 is: 98,748.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,575.20 : 323,411.40 = 65,822.40 : x
  2. Step 2: Convert to fraction form
    215,575.20/323,411.40 = 65,822.40/x
  3. Step 3: Cross multiply
    215,575.20x = 323,411.40 × 65,822.40
  4. Step 4: Simplify right side
    215,575.20x = 21,287,714,535.36
  5. Step 5: Solve for x
    x = 21,287,714,535.36/215,575.20
  6. Step 6: Final answer
    x = 98,748.44

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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.