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Finding the Fourth Proportional to 208,643.43, 312,956.48 and 96,286.31

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Solution

The fourth proportional to 208,643.43, 312,956.48 and 96,286.31 is: 144,425.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,643.43 : 312,956.48 = 96,286.31 : x
  2. Step 2: Convert to fraction form
    208,643.43/312,956.48 = 96,286.31/x
  3. Step 3: Cross multiply
    208,643.43x = 312,956.48 × 96,286.31
  4. Step 4: Simplify right side
    208,643.43x = 30,133,423,325.72
  5. Step 5: Solve for x
    x = 30,133,423,325.72/208,643.43
  6. Step 6: Final answer
    x = 144,425.46

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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.