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Finding the Fourth Proportional to 218,888.22, 328,348.53 and 78,648.06

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Solution

The fourth proportional to 218,888.22, 328,348.53 and 78,648.06 is: 117,977.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,888.22 : 328,348.53 = 78,648.06 : x
  2. Step 2: Convert to fraction form
    218,888.22/328,348.53 = 78,648.06/x
  3. Step 3: Cross multiply
    218,888.22x = 328,348.53 × 78,648.06
  4. Step 4: Simplify right side
    218,888.22x = 25,823,974,888.35
  5. Step 5: Solve for x
    x = 25,823,974,888.35/218,888.22
  6. Step 6: Final answer
    x = 117,977.91

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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.