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Finding the Fourth Proportional to 170,634.80, 255,949.80 and 77,140.40

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Solution

The fourth proportional to 170,634.80, 255,949.80 and 77,140.40 is: 115,709.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,634.80 : 255,949.80 = 77,140.40 : x
  2. Step 2: Convert to fraction form
    170,634.80/255,949.80 = 77,140.40/x
  3. Step 3: Cross multiply
    170,634.80x = 255,949.80 × 77,140.40
  4. Step 4: Simplify right side
    170,634.80x = 19,744,069,951.92
  5. Step 5: Solve for x
    x = 19,744,069,951.92/170,634.80
  6. Step 6: Final answer
    x = 115,709.52

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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.