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Finding the Fourth Proportional to 215,417.86, 323,138.86 and 65,663.04

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Solution

The fourth proportional to 215,417.86, 323,138.86 and 65,663.04 is: 98,498.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,417.86 : 323,138.86 = 65,663.04 : x
  2. Step 2: Convert to fraction form
    215,417.86/323,138.86 = 65,663.04/x
  3. Step 3: Cross multiply
    215,417.86x = 323,138.86 × 65,663.04
  4. Step 4: Simplify right side
    215,417.86x = 21,218,279,889.73
  5. Step 5: Solve for x
    x = 21,218,279,889.73/215,417.86
  6. Step 6: Final answer
    x = 98,498.24

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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.