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Finding the Fourth Proportional to 219,207.65, 328,743.13 and 86,128.70

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Solution

The fourth proportional to 219,207.65, 328,743.13 and 86,128.70 is: 129,166.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,207.65 : 328,743.13 = 86,128.70 : x
  2. Step 2: Convert to fraction form
    219,207.65/328,743.13 = 86,128.70/x
  3. Step 3: Cross multiply
    219,207.65x = 328,743.13 × 86,128.70
  4. Step 4: Simplify right side
    219,207.65x = 28,314,218,420.83
  5. Step 5: Solve for x
    x = 28,314,218,420.83/219,207.65
  6. Step 6: Final answer
    x = 129,166.20

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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.