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Finding the Fourth Proportional to 139,320.10, 208,980.16 and 34,138.16

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Solution

The fourth proportional to 139,320.10, 208,980.16 and 34,138.16 is: 51,207.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,320.10 : 208,980.16 = 34,138.16 : x
  2. Step 2: Convert to fraction form
    139,320.10/208,980.16 = 34,138.16/x
  3. Step 3: Cross multiply
    139,320.10x = 208,980.16 × 34,138.16
  4. Step 4: Simplify right side
    139,320.10x = 7,134,198,138.91
  5. Step 5: Solve for x
    x = 7,134,198,138.91/139,320.10
  6. Step 6: Final answer
    x = 51,207.24

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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.