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Finding the Fourth Proportional to 83,821.43, 115,674.71 and 48,011.40

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Solution

The fourth proportional to 83,821.43, 115,674.71 and 48,011.40 is: 66,256.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,821.43 : 115,674.71 = 48,011.40 : x
  2. Step 2: Convert to fraction form
    83,821.43/115,674.71 = 48,011.40/x
  3. Step 3: Cross multiply
    83,821.43x = 115,674.71 × 48,011.40
  4. Step 4: Simplify right side
    83,821.43x = 5,553,704,531.64
  5. Step 5: Solve for x
    x = 5,553,704,531.64/83,821.43
  6. Step 6: Final answer
    x = 66,256.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.