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Finding the Fourth Proportional to 209,848.41, 314,817.59 and 67,701.78

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Solution

The fourth proportional to 209,848.41, 314,817.59 and 67,701.78 is: 101,567.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,848.41 : 314,817.59 = 67,701.78 : x
  2. Step 2: Convert to fraction form
    209,848.41/314,817.59 = 67,701.78/x
  3. Step 3: Cross multiply
    209,848.41x = 314,817.59 × 67,701.78
  4. Step 4: Simplify right side
    209,848.41x = 21,313,711,387.56
  5. Step 5: Solve for x
    x = 21,313,711,387.56/209,848.41
  6. Step 6: Final answer
    x = 101,567.18

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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.