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Finding the Fourth Proportional to 171,452.60, 257,324.70 and 76,828.40

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Solution

The fourth proportional to 171,452.60, 257,324.70 and 76,828.40 is: 115,307.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,452.60 : 257,324.70 = 76,828.40 : x
  2. Step 2: Convert to fraction form
    171,452.60/257,324.70 = 76,828.40/x
  3. Step 3: Cross multiply
    171,452.60x = 257,324.70 × 76,828.40
  4. Step 4: Simplify right side
    171,452.60x = 19,769,844,981.48
  5. Step 5: Solve for x
    x = 19,769,844,981.48/171,452.60
  6. Step 6: Final answer
    x = 115,307.93

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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.