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Finding the Fourth Proportional to 137,290.71, 189,452.27 and 76,860.87

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Solution

The fourth proportional to 137,290.71, 189,452.27 and 76,860.87 is: 106,063.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,290.71 : 189,452.27 = 76,860.87 : x
  2. Step 2: Convert to fraction form
    137,290.71/189,452.27 = 76,860.87/x
  3. Step 3: Cross multiply
    137,290.71x = 189,452.27 × 76,860.87
  4. Step 4: Simplify right side
    137,290.71x = 14,561,465,911.37
  5. Step 5: Solve for x
    x = 14,561,465,911.37/137,290.71
  6. Step 6: Final answer
    x = 106,063.01

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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.