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Finding the Fourth Proportional to 137,401.66, 205,797.96 and 105,577.46

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Solution

The fourth proportional to 137,401.66, 205,797.96 and 105,577.46 is: 158,132.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,401.66 : 205,797.96 = 105,577.46 : x
  2. Step 2: Convert to fraction form
    137,401.66/205,797.96 = 105,577.46/x
  3. Step 3: Cross multiply
    137,401.66x = 205,797.96 × 105,577.46
  4. Step 4: Simplify right side
    137,401.66x = 21,727,625,889.98
  5. Step 5: Solve for x
    x = 21,727,625,889.98/137,401.66
  6. Step 6: Final answer
    x = 158,132.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.