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Finding the Fourth Proportional to 155,722.30, 233,497.05 and 66,960.70

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Solution

The fourth proportional to 155,722.30, 233,497.05 and 66,960.70 is: 100,403.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,722.30 : 233,497.05 = 66,960.70 : x
  2. Step 2: Convert to fraction form
    155,722.30/233,497.05 = 66,960.70/x
  3. Step 3: Cross multiply
    155,722.30x = 233,497.05 × 66,960.70
  4. Step 4: Simplify right side
    155,722.30x = 15,635,125,915.94
  5. Step 5: Solve for x
    x = 15,635,125,915.94/155,722.30
  6. Step 6: Final answer
    x = 100,403.90

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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.