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Finding the Fourth Proportional to 155,200.80, 232,768.80 and 66,457.20

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Solution

The fourth proportional to 155,200.80, 232,768.80 and 66,457.20 is: 99,671.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,200.80 : 232,768.80 = 66,457.20 : x
  2. Step 2: Convert to fraction form
    155,200.80/232,768.80 = 66,457.20/x
  3. Step 3: Cross multiply
    155,200.80x = 232,768.80 × 66,457.20
  4. Step 4: Simplify right side
    155,200.80x = 15,469,162,695.36
  5. Step 5: Solve for x
    x = 15,469,162,695.36/155,200.80
  6. Step 6: Final answer
    x = 99,671.93

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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.