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Finding the Fourth Proportional to 91,838, 137,780.12 and 26,174

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Solution

The fourth proportional to 91,838, 137,780.12 and 26,174 is: 39,267.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,838 : 137,780.12 = 26,174 : x
  2. Step 2: Convert to fraction form
    91,838/137,780.12 = 26,174/x
  3. Step 3: Cross multiply
    91,838x = 137,780.12 × 26,174
  4. Step 4: Simplify right side
    91,838x = 3,606,256,860.88
  5. Step 5: Solve for x
    x = 3,606,256,860.88/91,838
  6. Step 6: Final answer
    x = 39,267.59

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