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Finding the Fourth Proportional to 247,085.84, 340,976.01 and 138,188.96

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Solution

The fourth proportional to 247,085.84, 340,976.01 and 138,188.96 is: 190,699.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,085.84 : 340,976.01 = 138,188.96 : x
  2. Step 2: Convert to fraction form
    247,085.84/340,976.01 = 138,188.96/x
  3. Step 3: Cross multiply
    247,085.84x = 340,976.01 × 138,188.96
  4. Step 4: Simplify right side
    247,085.84x = 47,119,120,206.85
  5. Step 5: Solve for x
    x = 47,119,120,206.85/247,085.84
  6. Step 6: Final answer
    x = 190,699.40

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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.