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Finding the Fourth Proportional to 199,444.47, 299,278.48 and 105,947.79

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Solution

The fourth proportional to 199,444.47, 299,278.48 and 105,947.79 is: 158,981.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,444.47 : 299,278.48 = 105,947.79 : x
  2. Step 2: Convert to fraction form
    199,444.47/299,278.48 = 105,947.79/x
  3. Step 3: Cross multiply
    199,444.47x = 299,278.48 × 105,947.79
  4. Step 4: Simplify right side
    199,444.47x = 31,707,893,550.56
  5. Step 5: Solve for x
    x = 31,707,893,550.56/199,444.47
  6. Step 6: Final answer
    x = 158,981.06

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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.