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Finding the Fourth Proportional to 171,099.10, 256,643.85 and 77,604.70

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Solution

The fourth proportional to 171,099.10, 256,643.85 and 77,604.70 is: 116,404.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,099.10 : 256,643.85 = 77,604.70 : x
  2. Step 2: Convert to fraction form
    171,099.10/256,643.85 = 77,604.70/x
  3. Step 3: Cross multiply
    171,099.10x = 256,643.85 × 77,604.70
  4. Step 4: Simplify right side
    171,099.10x = 19,916,768,986.10
  5. Step 5: Solve for x
    x = 19,916,768,986.10/171,099.10
  6. Step 6: Final answer
    x = 116,404.87

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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.