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Finding the Fourth Proportional to 100,716.90, 138,978.42 and 58,267.50

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Solution

The fourth proportional to 100,716.90, 138,978.42 and 58,267.50 is: 80,402.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,716.90 : 138,978.42 = 58,267.50 : x
  2. Step 2: Convert to fraction form
    100,716.90/138,978.42 = 58,267.50/x
  3. Step 3: Cross multiply
    100,716.90x = 138,978.42 × 58,267.50
  4. Step 4: Simplify right side
    100,716.90x = 8,097,925,087.35
  5. Step 5: Solve for x
    x = 8,097,925,087.35/100,716.90
  6. Step 6: Final answer
    x = 80,402.84

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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.