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Finding the Fourth Proportional to 136,005.40, 203,765.10 and 65,729.80

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Solution

The fourth proportional to 136,005.40, 203,765.10 and 65,729.80 is: 98,477.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,005.40 : 203,765.10 = 65,729.80 : x
  2. Step 2: Convert to fraction form
    136,005.40/203,765.10 = 65,729.80/x
  3. Step 3: Cross multiply
    136,005.40x = 203,765.10 × 65,729.80
  4. Step 4: Simplify right side
    136,005.40x = 13,393,439,269.98
  5. Step 5: Solve for x
    x = 13,393,439,269.98/136,005.40
  6. Step 6: Final answer
    x = 98,477.26

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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.