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Finding the Fourth Proportional to 139,394.64, 209,095.80 and 34,213.20

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Solution

The fourth proportional to 139,394.64, 209,095.80 and 34,213.20 is: 51,320.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,394.64 : 209,095.80 = 34,213.20 : x
  2. Step 2: Convert to fraction form
    139,394.64/209,095.80 = 34,213.20/x
  3. Step 3: Cross multiply
    139,394.64x = 209,095.80 × 34,213.20
  4. Step 4: Simplify right side
    139,394.64x = 7,153,836,424.56
  5. Step 5: Solve for x
    x = 7,153,836,424.56/139,394.64
  6. Step 6: Final answer
    x = 51,320.74

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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.