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Finding the Fourth Proportional to 100,710.43, 138,983.87 and 55,391.84

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Solution

The fourth proportional to 100,710.43, 138,983.87 and 55,391.84 is: 76,442.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,710.43 : 138,983.87 = 55,391.84 : x
  2. Step 2: Convert to fraction form
    100,710.43/138,983.87 = 55,391.84/x
  3. Step 3: Cross multiply
    100,710.43x = 138,983.87 × 55,391.84
  4. Step 4: Simplify right side
    100,710.43x = 7,698,572,254.37
  5. Step 5: Solve for x
    x = 7,698,572,254.37/100,710.43
  6. Step 6: Final answer
    x = 76,442.65

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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.