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Finding the Fourth Proportional to 34,146.40, 51,262.80 and 31,820.80

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Solution

The fourth proportional to 34,146.40, 51,262.80 and 31,820.80 is: 47,771.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,146.40 : 51,262.80 = 31,820.80 : x
  2. Step 2: Convert to fraction form
    34,146.40/51,262.80 = 31,820.80/x
  3. Step 3: Cross multiply
    34,146.40x = 51,262.80 × 31,820.80
  4. Step 4: Simplify right side
    34,146.40x = 1,631,223,306.24
  5. Step 5: Solve for x
    x = 1,631,223,306.24/34,146.40
  6. Step 6: Final answer
    x = 47,771.46

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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.