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Finding the Fourth Proportional to 136,478, 204,412.34 and 104,653.66

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Solution

The fourth proportional to 136,478, 204,412.34 and 104,653.66 is: 156,746.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,478 : 204,412.34 = 104,653.66 : x
  2. Step 2: Convert to fraction form
    136,478/204,412.34 = 104,653.66/x
  3. Step 3: Cross multiply
    136,478x = 204,412.34 × 104,653.66
  4. Step 4: Simplify right side
    136,478x = 21,392,499,530.16
  5. Step 5: Solve for x
    x = 21,392,499,530.16/136,478
  6. Step 6: Final answer
    x = 156,746.87

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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.