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Finding the Fourth Proportional to 253,102.29, 380,243.92 and 147,995.07

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Solution

The fourth proportional to 253,102.29, 380,243.92 and 147,995.07 is: 222,337.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,102.29 : 380,243.92 = 147,995.07 : x
  2. Step 2: Convert to fraction form
    253,102.29/380,243.92 = 147,995.07/x
  3. Step 3: Cross multiply
    253,102.29x = 380,243.92 × 147,995.07
  4. Step 4: Simplify right side
    253,102.29x = 56,274,225,557.47
  5. Step 5: Solve for x
    x = 56,274,225,557.47/253,102.29
  6. Step 6: Final answer
    x = 222,337.88

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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.