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Finding the Fourth Proportional to 138,291.30, 190,852.20 and 77,868.54

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Solution

The fourth proportional to 138,291.30, 190,852.20 and 77,868.54 is: 107,464.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,291.30 : 190,852.20 = 77,868.54 : x
  2. Step 2: Convert to fraction form
    138,291.30/190,852.20 = 77,868.54/x
  3. Step 3: Cross multiply
    138,291.30x = 190,852.20 × 77,868.54
  4. Step 4: Simplify right side
    138,291.30x = 14,861,382,169.79
  5. Step 5: Solve for x
    x = 14,861,382,169.79/138,291.30
  6. Step 6: Final answer
    x = 107,464.33

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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.