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Finding the Fourth Proportional to 138,395.74, 190,986.70 and 77,967.10

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Solution

The fourth proportional to 138,395.74, 190,986.70 and 77,967.10 is: 107,594.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,395.74 : 190,986.70 = 77,967.10 : x
  2. Step 2: Convert to fraction form
    138,395.74/190,986.70 = 77,967.10/x
  3. Step 3: Cross multiply
    138,395.74x = 190,986.70 × 77,967.10
  4. Step 4: Simplify right side
    138,395.74x = 14,890,679,137.57
  5. Step 5: Solve for x
    x = 14,890,679,137.57/138,395.74
  6. Step 6: Final answer
    x = 107,594.92

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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.