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Finding the Fourth Proportional to 195,416.40, 292,908.60 and 77,048.40

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Solution

The fourth proportional to 195,416.40, 292,908.60 and 77,048.40 is: 115,487.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,416.40 : 292,908.60 = 77,048.40 : x
  2. Step 2: Convert to fraction form
    195,416.40/292,908.60 = 77,048.40/x
  3. Step 3: Cross multiply
    195,416.40x = 292,908.60 × 77,048.40
  4. Step 4: Simplify right side
    195,416.40x = 22,568,138,976.24
  5. Step 5: Solve for x
    x = 22,568,138,976.24/195,416.40
  6. Step 6: Final answer
    x = 115,487.44

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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.