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Finding the Fourth Proportional to 170,778.95, 256,162.95 and 77,284.70

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Solution

The fourth proportional to 170,778.95, 256,162.95 and 77,284.70 is: 115,924.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,778.95 : 256,162.95 = 77,284.70 : x
  2. Step 2: Convert to fraction form
    170,778.95/256,162.95 = 77,284.70/x
  3. Step 3: Cross multiply
    170,778.95x = 256,162.95 × 77,284.70
  4. Step 4: Simplify right side
    170,778.95x = 19,797,476,741.87
  5. Step 5: Solve for x
    x = 19,797,476,741.87/170,778.95
  6. Step 6: Final answer
    x = 115,924.57

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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.