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Finding the Fourth Proportional to 204,281.40, 306,419.16 and 91,881.88

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Solution

The fourth proportional to 204,281.40, 306,419.16 and 91,881.88 is: 137,821.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,281.40 : 306,419.16 = 91,881.88 : x
  2. Step 2: Convert to fraction form
    204,281.40/306,419.16 = 91,881.88/x
  3. Step 3: Cross multiply
    204,281.40x = 306,419.16 × 91,881.88
  4. Step 4: Simplify right side
    204,281.40x = 28,154,368,488.82
  5. Step 5: Solve for x
    x = 28,154,368,488.82/204,281.40
  6. Step 6: Final answer
    x = 137,821.50

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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.