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Finding the Fourth Proportional to 136,945.20, 205,417.80 and 38,449.20

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Solution

The fourth proportional to 136,945.20, 205,417.80 and 38,449.20 is: 57,673.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,945.20 : 205,417.80 = 38,449.20 : x
  2. Step 2: Convert to fraction form
    136,945.20/205,417.80 = 38,449.20/x
  3. Step 3: Cross multiply
    136,945.20x = 205,417.80 × 38,449.20
  4. Step 4: Simplify right side
    136,945.20x = 7,898,150,075.76
  5. Step 5: Solve for x
    x = 7,898,150,075.76/136,945.20
  6. Step 6: Final answer
    x = 57,673.80

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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.