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Finding the Fourth Proportional to 195,806.79, 270,232.47 and 109,780.47

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Solution

The fourth proportional to 195,806.79, 270,232.47 and 109,780.47 is: 151,507.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,806.79 : 270,232.47 = 109,780.47 : x
  2. Step 2: Convert to fraction form
    195,806.79/270,232.47 = 109,780.47/x
  3. Step 3: Cross multiply
    195,806.79x = 270,232.47 × 109,780.47
  4. Step 4: Simplify right side
    195,806.79x = 29,666,247,565.86
  5. Step 5: Solve for x
    x = 29,666,247,565.86/195,806.79
  6. Step 6: Final answer
    x = 151,507.76

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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.