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Finding the Fourth Proportional to 170,470.40, 255,724.80 and 52,140.80

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Solution

The fourth proportional to 170,470.40, 255,724.80 and 52,140.80 is: 78,217.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,470.40 : 255,724.80 = 52,140.80 : x
  2. Step 2: Convert to fraction form
    170,470.40/255,724.80 = 52,140.80/x
  3. Step 3: Cross multiply
    170,470.40x = 255,724.80 × 52,140.80
  4. Step 4: Simplify right side
    170,470.40x = 13,333,695,651.84
  5. Step 5: Solve for x
    x = 13,333,695,651.84/170,470.40
  6. Step 6: Final answer
    x = 78,217.07

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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.