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Finding the Fourth Proportional to 218,722.74, 328,013.19 and 83,779.63

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Solution

The fourth proportional to 218,722.74, 328,013.19 and 83,779.63 is: 125,642.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,722.74 : 328,013.19 = 83,779.63 : x
  2. Step 2: Convert to fraction form
    218,722.74/328,013.19 = 83,779.63/x
  3. Step 3: Cross multiply
    218,722.74x = 328,013.19 × 83,779.63
  4. Step 4: Simplify right side
    218,722.74x = 27,480,822,173.06
  5. Step 5: Solve for x
    x = 27,480,822,173.06/218,722.74
  6. Step 6: Final answer
    x = 125,642.27

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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.