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Finding the Fourth Proportional to 154,151.20, 230,967.60 and 127,712.80

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Solution

The fourth proportional to 154,151.20, 230,967.60 and 127,712.80 is: 191,354.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,151.20 : 230,967.60 = 127,712.80 : x
  2. Step 2: Convert to fraction form
    154,151.20/230,967.60 = 127,712.80/x
  3. Step 3: Cross multiply
    154,151.20x = 230,967.60 × 127,712.80
  4. Step 4: Simplify right side
    154,151.20x = 29,497,518,905.28
  5. Step 5: Solve for x
    x = 29,497,518,905.28/154,151.20
  6. Step 6: Final answer
    x = 191,354.46

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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.