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Finding the Fourth Proportional to 136,105.32, 203,862.48 and 65,837.28

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Solution

The fourth proportional to 136,105.32, 203,862.48 and 65,837.28 is: 98,612.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,105.32 : 203,862.48 = 65,837.28 : x
  2. Step 2: Convert to fraction form
    136,105.32/203,862.48 = 65,837.28/x
  3. Step 3: Cross multiply
    136,105.32x = 203,862.48 × 65,837.28
  4. Step 4: Simplify right side
    136,105.32x = 13,421,751,177.25
  5. Step 5: Solve for x
    x = 13,421,751,177.25/136,105.32
  6. Step 6: Final answer
    x = 98,612.98

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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.