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Finding the Fourth Proportional to 218,781.84, 328,228.12 and 61,010.31

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Solution

The fourth proportional to 218,781.84, 328,228.12 and 61,010.31 is: 91,530.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,781.84 : 328,228.12 = 61,010.31 : x
  2. Step 2: Convert to fraction form
    218,781.84/328,228.12 = 61,010.31/x
  3. Step 3: Cross multiply
    218,781.84x = 328,228.12 × 61,010.31
  4. Step 4: Simplify right side
    218,781.84x = 20,025,300,315.85
  5. Step 5: Solve for x
    x = 20,025,300,315.85/218,781.84
  6. Step 6: Final answer
    x = 91,530.91

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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.