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Finding the Fourth Proportional to 138,324.31, 190,890.80 and 77,074.64

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Solution

The fourth proportional to 138,324.31, 190,890.80 and 77,074.64 is: 106,364.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,324.31 : 190,890.80 = 77,074.64 : x
  2. Step 2: Convert to fraction form
    138,324.31/190,890.80 = 77,074.64/x
  3. Step 3: Cross multiply
    138,324.31x = 190,890.80 × 77,074.64
  4. Step 4: Simplify right side
    138,324.31x = 14,712,839,689.31
  5. Step 5: Solve for x
    x = 14,712,839,689.31/138,324.31
  6. Step 6: Final answer
    x = 106,364.82

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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.