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Finding the Fourth Proportional to 139,053.40, 208,081.85 and 120,397.84

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Solution

The fourth proportional to 139,053.40, 208,081.85 and 120,397.84 is: 180,165.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,053.40 : 208,081.85 = 120,397.84 : x
  2. Step 2: Convert to fraction form
    139,053.40/208,081.85 = 120,397.84/x
  3. Step 3: Cross multiply
    139,053.40x = 208,081.85 × 120,397.84
  4. Step 4: Simplify right side
    139,053.40x = 25,052,604,161.01
  5. Step 5: Solve for x
    x = 25,052,604,161.01/139,053.40
  6. Step 6: Final answer
    x = 180,165.35

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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.