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Finding the Fourth Proportional to 139,003.22, 191,824.74 and 75,341.07

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Solution

The fourth proportional to 139,003.22, 191,824.74 and 75,341.07 is: 103,970.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,003.22 : 191,824.74 = 75,341.07 : x
  2. Step 2: Convert to fraction form
    139,003.22/191,824.74 = 75,341.07/x
  3. Step 3: Cross multiply
    139,003.22x = 191,824.74 × 75,341.07
  4. Step 4: Simplify right side
    139,003.22x = 14,452,281,164.07
  5. Step 5: Solve for x
    x = 14,452,281,164.07/139,003.22
  6. Step 6: Final answer
    x = 103,970.84

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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.