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Finding the Fourth Proportional to 83,809.80, 115,664.10 and 48,011.36

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Solution

The fourth proportional to 83,809.80, 115,664.10 and 48,011.36 is: 66,259.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,809.80 : 115,664.10 = 48,011.36 : x
  2. Step 2: Convert to fraction form
    83,809.80/115,664.10 = 48,011.36/x
  3. Step 3: Cross multiply
    83,809.80x = 115,664.10 × 48,011.36
  4. Step 4: Simplify right side
    83,809.80x = 5,553,190,165.86
  5. Step 5: Solve for x
    x = 5,553,190,165.86/83,809.80
  6. Step 6: Final answer
    x = 66,259.44

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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.