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Finding the Fourth Proportional to 170,438.30, 255,655.05 and 76,943.90

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Solution

The fourth proportional to 170,438.30, 255,655.05 and 76,943.90 is: 115,414.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,438.30 : 255,655.05 = 76,943.90 : x
  2. Step 2: Convert to fraction form
    170,438.30/255,655.05 = 76,943.90/x
  3. Step 3: Cross multiply
    170,438.30x = 255,655.05 × 76,943.90
  4. Step 4: Simplify right side
    170,438.30x = 19,671,096,601.70
  5. Step 5: Solve for x
    x = 19,671,096,601.70/170,438.30
  6. Step 6: Final answer
    x = 115,414.77

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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.