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Finding the Fourth Proportional to 171,106.40, 256,486.80 and 77,679.20

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Solution

The fourth proportional to 171,106.40, 256,486.80 and 77,679.20 is: 116,440.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,106.40 : 256,486.80 = 77,679.20 : x
  2. Step 2: Convert to fraction form
    171,106.40/256,486.80 = 77,679.20/x
  3. Step 3: Cross multiply
    171,106.40x = 256,486.80 × 77,679.20
  4. Step 4: Simplify right side
    171,106.40x = 19,923,689,434.56
  5. Step 5: Solve for x
    x = 19,923,689,434.56/171,106.40
  6. Step 6: Final answer
    x = 116,440.35

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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.