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Finding the Fourth Proportional to 270,085.92, 372,686.16 and 149,219.76

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Solution

The fourth proportional to 270,085.92, 372,686.16 and 149,219.76 is: 205,905.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,085.92 : 372,686.16 = 149,219.76 : x
  2. Step 2: Convert to fraction form
    270,085.92/372,686.16 = 149,219.76/x
  3. Step 3: Cross multiply
    270,085.92x = 372,686.16 × 149,219.76
  4. Step 4: Simplify right side
    270,085.92x = 55,612,139,350.52
  5. Step 5: Solve for x
    x = 55,612,139,350.52/270,085.92
  6. Step 6: Final answer
    x = 205,905.36

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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.