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Finding the Fourth Proportional to 218,974.38, 328,510.77 and 78,733

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Solution

The fourth proportional to 218,974.38, 328,510.77 and 78,733 is: 118,117.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,974.38 : 328,510.77 = 78,733 : x
  2. Step 2: Convert to fraction form
    218,974.38/328,510.77 = 78,733/x
  3. Step 3: Cross multiply
    218,974.38x = 328,510.77 × 78,733
  4. Step 4: Simplify right side
    218,974.38x = 25,864,638,454.41
  5. Step 5: Solve for x
    x = 25,864,638,454.41/218,974.38
  6. Step 6: Final answer
    x = 118,117.19

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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.