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Finding the Fourth Proportional to 215,658.16, 323,545.48 and 65,894.36

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Solution

The fourth proportional to 215,658.16, 323,545.48 and 65,894.36 is: 98,859.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,658.16 : 323,545.48 = 65,894.36 : x
  2. Step 2: Convert to fraction form
    215,658.16/323,545.48 = 65,894.36/x
  3. Step 3: Cross multiply
    215,658.16x = 323,545.48 × 65,894.36
  4. Step 4: Simplify right side
    215,658.16x = 21,319,822,335.49
  5. Step 5: Solve for x
    x = 21,319,822,335.49/215,658.16
  6. Step 6: Final answer
    x = 98,859.34

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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.