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Finding the Fourth Proportional to 171,246.10, 256,864.35 and 77,751.70

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Solution

The fourth proportional to 171,246.10, 256,864.35 and 77,751.70 is: 116,625.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,246.10 : 256,864.35 = 77,751.70 : x
  2. Step 2: Convert to fraction form
    171,246.10/256,864.35 = 77,751.70/x
  3. Step 3: Cross multiply
    171,246.10x = 256,864.35 × 77,751.70
  4. Step 4: Simplify right side
    171,246.10x = 19,971,639,881.90
  5. Step 5: Solve for x
    x = 19,971,639,881.90/171,246.10
  6. Step 6: Final answer
    x = 116,625.37

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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.