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Finding the Fourth Proportional to 218,856.82, 328,320.36 and 92,498.32

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Solution

The fourth proportional to 218,856.82, 328,320.36 and 92,498.32 is: 138,762.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,856.82 : 328,320.36 = 92,498.32 : x
  2. Step 2: Convert to fraction form
    218,856.82/328,320.36 = 92,498.32/x
  3. Step 3: Cross multiply
    218,856.82x = 328,320.36 × 92,498.32
  4. Step 4: Simplify right side
    218,856.82x = 30,369,081,721.80
  5. Step 5: Solve for x
    x = 30,369,081,721.80/218,856.82
  6. Step 6: Final answer
    x = 138,762.33

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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.