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Finding the Fourth Proportional to 137,561.23, 189,843.57 and 77,135.74

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Solution

The fourth proportional to 137,561.23, 189,843.57 and 77,135.74 is: 106,452.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,561.23 : 189,843.57 = 77,135.74 : x
  2. Step 2: Convert to fraction form
    137,561.23/189,843.57 = 77,135.74/x
  3. Step 3: Cross multiply
    137,561.23x = 189,843.57 × 77,135.74
  4. Step 4: Simplify right side
    137,561.23x = 14,643,724,256.19
  5. Step 5: Solve for x
    x = 14,643,724,256.19/137,561.23
  6. Step 6: Final answer
    x = 106,452.41

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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.