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Finding the Fourth Proportional to 203,488.74, 280,780.20 and 135,607.02

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Solution

The fourth proportional to 203,488.74, 280,780.20 and 135,607.02 is: 187,114.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,488.74 : 280,780.20 = 135,607.02 : x
  2. Step 2: Convert to fraction form
    203,488.74/280,780.20 = 135,607.02/x
  3. Step 3: Cross multiply
    203,488.74x = 280,780.20 × 135,607.02
  4. Step 4: Simplify right side
    203,488.74x = 38,075,766,197.00
  5. Step 5: Solve for x
    x = 38,075,766,197.00/203,488.74
  6. Step 6: Final answer
    x = 187,114.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.