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Finding the Fourth Proportional to 139,409.22, 209,218.98 and 64,581.84

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Solution

The fourth proportional to 139,409.22, 209,218.98 and 64,581.84 is: 96,921.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,409.22 : 209,218.98 = 64,581.84 : x
  2. Step 2: Convert to fraction form
    139,409.22/209,218.98 = 64,581.84/x
  3. Step 3: Cross multiply
    139,409.22x = 209,218.98 × 64,581.84
  4. Step 4: Simplify right side
    139,409.22x = 13,511,746,691.32
  5. Step 5: Solve for x
    x = 13,511,746,691.32/139,409.22
  6. Step 6: Final answer
    x = 96,921.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.