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Finding the Fourth Proportional to 75,897.40, 113,859.30 and 31,499.80

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Solution

The fourth proportional to 75,897.40, 113,859.30 and 31,499.80 is: 47,255.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,897.40 : 113,859.30 = 31,499.80 : x
  2. Step 2: Convert to fraction form
    75,897.40/113,859.30 = 31,499.80/x
  3. Step 3: Cross multiply
    75,897.40x = 113,859.30 × 31,499.80
  4. Step 4: Simplify right side
    75,897.40x = 3,586,545,178.14
  5. Step 5: Solve for x
    x = 3,586,545,178.14/75,897.40
  6. Step 6: Final answer
    x = 47,255.18

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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.