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Finding the Fourth Proportional to 91,742, 137,636.12 and 26,078

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Solution

The fourth proportional to 91,742, 137,636.12 and 26,078 is: 39,123.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,742 : 137,636.12 = 26,078 : x
  2. Step 2: Convert to fraction form
    91,742/137,636.12 = 26,078/x
  3. Step 3: Cross multiply
    91,742x = 137,636.12 × 26,078
  4. Step 4: Simplify right side
    91,742x = 3,589,274,737.36
  5. Step 5: Solve for x
    x = 3,589,274,737.36/91,742
  6. Step 6: Final answer
    x = 39,123.57

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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.