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Finding the Fourth Proportional to 153,846.30, 230,769.45 and 127,580.70

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Solution

The fourth proportional to 153,846.30, 230,769.45 and 127,580.70 is: 191,371.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,846.30 : 230,769.45 = 127,580.70 : x
  2. Step 2: Convert to fraction form
    153,846.30/230,769.45 = 127,580.70/x
  3. Step 3: Cross multiply
    153,846.30x = 230,769.45 × 127,580.70
  4. Step 4: Simplify right side
    153,846.30x = 29,441,727,969.62
  5. Step 5: Solve for x
    x = 29,441,727,969.62/153,846.30
  6. Step 6: Final answer
    x = 191,371.05

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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.