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Finding the Fourth Proportional to 170,468.40, 255,721.80 and 52,138.80

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Solution

The fourth proportional to 170,468.40, 255,721.80 and 52,138.80 is: 78,214.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,468.40 : 255,721.80 = 52,138.80 : x
  2. Step 2: Convert to fraction form
    170,468.40/255,721.80 = 52,138.80/x
  3. Step 3: Cross multiply
    170,468.40x = 255,721.80 × 52,138.80
  4. Step 4: Simplify right side
    170,468.40x = 13,333,027,785.84
  5. Step 5: Solve for x
    x = 13,333,027,785.84/170,468.40
  6. Step 6: Final answer
    x = 78,214.07

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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.