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Finding the Fourth Proportional to 137,645.38, 189,965.01 and 77,232.34

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Solution

The fourth proportional to 137,645.38, 189,965.01 and 77,232.34 is: 106,588.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,645.38 : 189,965.01 = 77,232.34 : x
  2. Step 2: Convert to fraction form
    137,645.38/189,965.01 = 77,232.34/x
  3. Step 3: Cross multiply
    137,645.38x = 189,965.01 × 77,232.34
  4. Step 4: Simplify right side
    137,645.38x = 14,671,442,240.42
  5. Step 5: Solve for x
    x = 14,671,442,240.42/137,645.38
  6. Step 6: Final answer
    x = 106,588.70

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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.