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Finding the Fourth Proportional to 100,758.48, 139,044.54 and 54,816.90

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Solution

The fourth proportional to 100,758.48, 139,044.54 and 54,816.90 is: 75,646.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,758.48 : 139,044.54 = 54,816.90 : x
  2. Step 2: Convert to fraction form
    100,758.48/139,044.54 = 54,816.90/x
  3. Step 3: Cross multiply
    100,758.48x = 139,044.54 × 54,816.90
  4. Step 4: Simplify right side
    100,758.48x = 7,621,990,644.73
  5. Step 5: Solve for x
    x = 7,621,990,644.73/100,758.48
  6. Step 6: Final answer
    x = 75,646.15

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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.