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Finding the Fourth Proportional to 189,103.80, 283,655.70 and 155,278.20

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Solution

The fourth proportional to 189,103.80, 283,655.70 and 155,278.20 is: 232,917.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,103.80 : 283,655.70 = 155,278.20 : x
  2. Step 2: Convert to fraction form
    189,103.80/283,655.70 = 155,278.20/x
  3. Step 3: Cross multiply
    189,103.80x = 283,655.70 × 155,278.20
  4. Step 4: Simplify right side
    189,103.80x = 44,045,546,515.74
  5. Step 5: Solve for x
    x = 44,045,546,515.74/189,103.80
  6. Step 6: Final answer
    x = 232,917.30

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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.