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Finding the Fourth Proportional to 170,738.96, 256,239.12 and 77,310.32

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Solution

The fourth proportional to 170,738.96, 256,239.12 and 77,310.32 is: 116,024.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,738.96 : 256,239.12 = 77,310.32 : x
  2. Step 2: Convert to fraction form
    170,738.96/256,239.12 = 77,310.32/x
  3. Step 3: Cross multiply
    170,738.96x = 256,239.12 × 77,310.32
  4. Step 4: Simplify right side
    170,738.96x = 19,809,928,363.72
  5. Step 5: Solve for x
    x = 19,809,928,363.72/170,738.96
  6. Step 6: Final answer
    x = 116,024.65

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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.