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Finding the Fourth Proportional to 209,397.83, 314,070.75 and 67,231.89

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Solution

The fourth proportional to 209,397.83, 314,070.75 and 67,231.89 is: 100,839.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,397.83 : 314,070.75 = 67,231.89 : x
  2. Step 2: Convert to fraction form
    209,397.83/314,070.75 = 67,231.89/x
  3. Step 3: Cross multiply
    209,397.83x = 314,070.75 × 67,231.89
  4. Step 4: Simplify right side
    209,397.83x = 21,115,570,116.22
  5. Step 5: Solve for x
    x = 21,115,570,116.22/209,397.83
  6. Step 6: Final answer
    x = 100,839.49

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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.