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Finding the Fourth Proportional to 155,815.20, 233,377.20 and 120,640.80

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Solution

The fourth proportional to 155,815.20, 233,377.20 and 120,640.80 is: 180,693.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,815.20 : 233,377.20 = 120,640.80 : x
  2. Step 2: Convert to fraction form
    155,815.20/233,377.20 = 120,640.80/x
  3. Step 3: Cross multiply
    155,815.20x = 233,377.20 × 120,640.80
  4. Step 4: Simplify right side
    155,815.20x = 28,154,812,109.76
  5. Step 5: Solve for x
    x = 28,154,812,109.76/155,815.20
  6. Step 6: Final answer
    x = 180,693.62

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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.