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Finding the Fourth Proportional to 139,012, 208,556.40 and 40,516

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Solution

The fourth proportional to 139,012, 208,556.40 and 40,516 is: 60,785.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,012 : 208,556.40 = 40,516 : x
  2. Step 2: Convert to fraction form
    139,012/208,556.40 = 40,516/x
  3. Step 3: Cross multiply
    139,012x = 208,556.40 × 40,516
  4. Step 4: Simplify right side
    139,012x = 8,449,871,102.40
  5. Step 5: Solve for x
    x = 8,449,871,102.40/139,012
  6. Step 6: Final answer
    x = 60,785.19

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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.