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Finding the Fourth Proportional to 253,236.76, 349,509.78 and 145,869.04

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Solution

The fourth proportional to 253,236.76, 349,509.78 and 145,869.04 is: 201,324.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,236.76 : 349,509.78 = 145,869.04 : x
  2. Step 2: Convert to fraction form
    253,236.76/349,509.78 = 145,869.04/x
  3. Step 3: Cross multiply
    253,236.76x = 349,509.78 × 145,869.04
  4. Step 4: Simplify right side
    253,236.76x = 50,982,656,079.21
  5. Step 5: Solve for x
    x = 50,982,656,079.21/253,236.76
  6. Step 6: Final answer
    x = 201,324.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.