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Finding the Fourth Proportional to 120,564.65, 180,810.04 and 83,363.78

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Solution

The fourth proportional to 120,564.65, 180,810.04 and 83,363.78 is: 125,020.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,564.65 : 180,810.04 = 83,363.78 : x
  2. Step 2: Convert to fraction form
    120,564.65/180,810.04 = 83,363.78/x
  3. Step 3: Cross multiply
    120,564.65x = 180,810.04 × 83,363.78
  4. Step 4: Simplify right side
    120,564.65x = 15,073,007,283.89
  5. Step 5: Solve for x
    x = 15,073,007,283.89/120,564.65
  6. Step 6: Final answer
    x = 125,020.13

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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.