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Finding the Fourth Proportional to 171,423.60, 257,281.20 and 76,799.40

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Solution

The fourth proportional to 171,423.60, 257,281.20 and 76,799.40 is: 115,264.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,423.60 : 257,281.20 = 76,799.40 : x
  2. Step 2: Convert to fraction form
    171,423.60/257,281.20 = 76,799.40/x
  3. Step 3: Cross multiply
    171,423.60x = 257,281.20 × 76,799.40
  4. Step 4: Simplify right side
    171,423.60x = 19,759,041,791.28
  5. Step 5: Solve for x
    x = 19,759,041,791.28/171,423.60
  6. Step 6: Final answer
    x = 115,264.42

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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.