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Finding the Fourth Proportional to 153,642.58, 230,297.28 and 78,659.85

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Solution

The fourth proportional to 153,642.58, 230,297.28 and 78,659.85 is: 117,904.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,642.58 : 230,297.28 = 78,659.85 : x
  2. Step 2: Convert to fraction form
    153,642.58/230,297.28 = 78,659.85/x
  3. Step 3: Cross multiply
    153,642.58x = 230,297.28 × 78,659.85
  4. Step 4: Simplify right side
    153,642.58x = 18,115,149,500.21
  5. Step 5: Solve for x
    x = 18,115,149,500.21/153,642.58
  6. Step 6: Final answer
    x = 117,904.49

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1.5x scale

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.