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Finding the Fourth Proportional to 138,605.98, 191,276.13 and 74,943.64

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Solution

The fourth proportional to 138,605.98, 191,276.13 and 74,943.64 is: 103,422.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,605.98 : 191,276.13 = 74,943.64 : x
  2. Step 2: Convert to fraction form
    138,605.98/191,276.13 = 74,943.64/x
  3. Step 3: Cross multiply
    138,605.98x = 191,276.13 × 74,943.64
  4. Step 4: Simplify right side
    138,605.98x = 14,334,929,427.31
  5. Step 5: Solve for x
    x = 14,334,929,427.31/138,605.98
  6. Step 6: Final answer
    x = 103,422.16

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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.