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Finding the Fourth Proportional to 205,812.40, 308,718.60 and 72,691.60

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Solution

The fourth proportional to 205,812.40, 308,718.60 and 72,691.60 is: 109,037.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,812.40 : 308,718.60 = 72,691.60 : x
  2. Step 2: Convert to fraction form
    205,812.40/308,718.60 = 72,691.60/x
  3. Step 3: Cross multiply
    205,812.40x = 308,718.60 × 72,691.60
  4. Step 4: Simplify right side
    205,812.40x = 22,441,248,983.76
  5. Step 5: Solve for x
    x = 22,441,248,983.76/205,812.40
  6. Step 6: Final answer
    x = 109,037.40

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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.