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Finding the Fourth Proportional to 219,680.32, 303,047.40 and 138,971.92

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Solution

The fourth proportional to 219,680.32, 303,047.40 and 138,971.92 is: 191,710.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,680.32 : 303,047.40 = 138,971.92 : x
  2. Step 2: Convert to fraction form
    219,680.32/303,047.40 = 138,971.92/x
  3. Step 3: Cross multiply
    219,680.32x = 303,047.40 × 138,971.92
  4. Step 4: Simplify right side
    219,680.32x = 42,115,079,029.01
  5. Step 5: Solve for x
    x = 42,115,079,029.01/219,680.32
  6. Step 6: Final answer
    x = 191,710.75

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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.