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Finding the Fourth Proportional to 91,749, 137,646.62 and 26,085

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Solution

The fourth proportional to 91,749, 137,646.62 and 26,085 is: 39,134.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,749 : 137,646.62 = 26,085 : x
  2. Step 2: Convert to fraction form
    91,749/137,646.62 = 26,085/x
  3. Step 3: Cross multiply
    91,749x = 137,646.62 × 26,085
  4. Step 4: Simplify right side
    91,749x = 3,590,512,082.70
  5. Step 5: Solve for x
    x = 3,590,512,082.70/91,749
  6. Step 6: Final answer
    x = 39,134.07

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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.