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Finding the Fourth Proportional to 136,695.70, 205,043.55 and 101,266.30

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Solution

The fourth proportional to 136,695.70, 205,043.55 and 101,266.30 is: 151,899.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,695.70 : 205,043.55 = 101,266.30 : x
  2. Step 2: Convert to fraction form
    136,695.70/205,043.55 = 101,266.30/x
  3. Step 3: Cross multiply
    136,695.70x = 205,043.55 × 101,266.30
  4. Step 4: Simplify right side
    136,695.70x = 20,764,001,647.37
  5. Step 5: Solve for x
    x = 20,764,001,647.37/136,695.70
  6. Step 6: Final answer
    x = 151,899.45

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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.