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Finding the Fourth Proportional to 223,278.60, 334,971.90 and 65,512.20

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Solution

The fourth proportional to 223,278.60, 334,971.90 and 65,512.20 is: 98,284.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,278.60 : 334,971.90 = 65,512.20 : x
  2. Step 2: Convert to fraction form
    223,278.60/334,971.90 = 65,512.20/x
  3. Step 3: Cross multiply
    223,278.60x = 334,971.90 × 65,512.20
  4. Step 4: Simplify right side
    223,278.60x = 21,944,746,107.18
  5. Step 5: Solve for x
    x = 21,944,746,107.18/223,278.60
  6. Step 6: Final answer
    x = 98,284.14

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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.