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Finding the Fourth Proportional to 170,793.90, 256,185.36 and 77,299.74

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Solution

The fourth proportional to 170,793.90, 256,185.36 and 77,299.74 is: 115,947.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,793.90 : 256,185.36 = 77,299.74 : x
  2. Step 2: Convert to fraction form
    170,793.90/256,185.36 = 77,299.74/x
  3. Step 3: Cross multiply
    170,793.90x = 256,185.36 × 77,299.74
  4. Step 4: Simplify right side
    170,793.90x = 19,803,061,719.81
  5. Step 5: Solve for x
    x = 19,803,061,719.81/170,793.90
  6. Step 6: Final answer
    x = 115,947.13

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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.