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Finding the Fourth Proportional to 75,897, 113,767.74 and 31,549.50

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Solution

The fourth proportional to 75,897, 113,767.74 and 31,549.50 is: 47,291.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,897 : 113,767.74 = 31,549.50 : x
  2. Step 2: Convert to fraction form
    75,897/113,767.74 = 31,549.50/x
  3. Step 3: Cross multiply
    75,897x = 113,767.74 × 31,549.50
  4. Step 4: Simplify right side
    75,897x = 3,589,315,313.13
  5. Step 5: Solve for x
    x = 3,589,315,313.13/75,897
  6. Step 6: Final answer
    x = 47,291.93

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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.