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Finding the Fourth Proportional to 139,952.12, 209,969.08 and 45,180.08

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Solution

The fourth proportional to 139,952.12, 209,969.08 and 45,180.08 is: 67,783.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,952.12 : 209,969.08 = 45,180.08 : x
  2. Step 2: Convert to fraction form
    139,952.12/209,969.08 = 45,180.08/x
  3. Step 3: Cross multiply
    139,952.12x = 209,969.08 × 45,180.08
  4. Step 4: Simplify right side
    139,952.12x = 9,486,419,831.93
  5. Step 5: Solve for x
    x = 9,486,419,831.93/139,952.12
  6. Step 6: Final answer
    x = 67,783.32

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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.