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Finding the Fourth Proportional to 253,103.40, 379,712.70 and 147,868.20

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Solution

The fourth proportional to 253,103.40, 379,712.70 and 147,868.20 is: 221,835.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,103.40 : 379,712.70 = 147,868.20 : x
  2. Step 2: Convert to fraction form
    253,103.40/379,712.70 = 147,868.20/x
  3. Step 3: Cross multiply
    253,103.40x = 379,712.70 × 147,868.20
  4. Step 4: Simplify right side
    253,103.40x = 56,147,433,466.14
  5. Step 5: Solve for x
    x = 56,147,433,466.14/253,103.40
  6. Step 6: Final answer
    x = 221,835.95

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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.