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Finding the Fourth Proportional to 205,901.20, 308,851.80 and 72,780.40

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Solution

The fourth proportional to 205,901.20, 308,851.80 and 72,780.40 is: 109,170.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,901.20 : 308,851.80 = 72,780.40 : x
  2. Step 2: Convert to fraction form
    205,901.20/308,851.80 = 72,780.40/x
  3. Step 3: Cross multiply
    205,901.20x = 308,851.80 × 72,780.40
  4. Step 4: Simplify right side
    205,901.20x = 22,478,357,544.72
  5. Step 5: Solve for x
    x = 22,478,357,544.72/205,901.20
  6. Step 6: Final answer
    x = 109,170.60

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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.