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Finding the Fourth Proportional to 139,582.32, 209,340.36 and 49,617.60

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Solution

The fourth proportional to 139,582.32, 209,340.36 and 49,617.60 is: 74,414.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,582.32 : 209,340.36 = 49,617.60 : x
  2. Step 2: Convert to fraction form
    139,582.32/209,340.36 = 49,617.60/x
  3. Step 3: Cross multiply
    139,582.32x = 209,340.36 × 49,617.60
  4. Step 4: Simplify right side
    139,582.32x = 10,386,966,246.34
  5. Step 5: Solve for x
    x = 10,386,966,246.34/139,582.32
  6. Step 6: Final answer
    x = 74,414.63

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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.