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Finding the Fourth Proportional to 153,642.33, 230,296.86 and 78,659.64

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Solution

The fourth proportional to 153,642.33, 230,296.86 and 78,659.64 is: 117,904.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,642.33 : 230,296.86 = 78,659.64 : x
  2. Step 2: Convert to fraction form
    153,642.33/230,296.86 = 78,659.64/x
  3. Step 3: Cross multiply
    153,642.33x = 230,296.86 × 78,659.64
  4. Step 4: Simplify right side
    153,642.33x = 18,115,068,100.73
  5. Step 5: Solve for x
    x = 18,115,068,100.73/153,642.33
  6. Step 6: Final answer
    x = 117,904.15

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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.