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Finding the Fourth Proportional to 139,894.73, 209,780.37 and 40,032.20

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Solution

The fourth proportional to 139,894.73, 209,780.37 and 40,032.20 is: 60,030.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,894.73 : 209,780.37 = 40,032.20 : x
  2. Step 2: Convert to fraction form
    139,894.73/209,780.37 = 40,032.20/x
  3. Step 3: Cross multiply
    139,894.73x = 209,780.37 × 40,032.20
  4. Step 4: Simplify right side
    139,894.73x = 8,397,968,679.01
  5. Step 5: Solve for x
    x = 8,397,968,679.01/139,894.73
  6. Step 6: Final answer
    x = 60,030.63

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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.