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Finding the Fourth Proportional to 118,215.20, 163,101.44 and 77,914.48

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Solution

The fourth proportional to 118,215.20, 163,101.44 and 77,914.48 is: 107,498.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,215.20 : 163,101.44 = 77,914.48 : x
  2. Step 2: Convert to fraction form
    118,215.20/163,101.44 = 77,914.48/x
  3. Step 3: Cross multiply
    118,215.20x = 163,101.44 × 77,914.48
  4. Step 4: Simplify right side
    118,215.20x = 12,707,963,884.85
  5. Step 5: Solve for x
    x = 12,707,963,884.85/118,215.20
  6. Step 6: Final answer
    x = 107,498.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.