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Finding the Fourth Proportional to 251,009, 346,394.85 and 137,834.18

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Solution

The fourth proportional to 251,009, 346,394.85 and 137,834.18 is: 190,212.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,009 : 346,394.85 = 137,834.18 : x
  2. Step 2: Convert to fraction form
    251,009/346,394.85 = 137,834.18/x
  3. Step 3: Cross multiply
    251,009x = 346,394.85 × 137,834.18
  4. Step 4: Simplify right side
    251,009x = 47,745,050,105.97
  5. Step 5: Solve for x
    x = 47,745,050,105.97/251,009
  6. Step 6: Final answer
    x = 190,212.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.