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Finding the Fourth Proportional to 101,898, 152,864.28 and 31,763.34

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Solution

The fourth proportional to 101,898, 152,864.28 and 31,763.34 is: 47,650.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,898 : 152,864.28 = 31,763.34 : x
  2. Step 2: Convert to fraction form
    101,898/152,864.28 = 31,763.34/x
  3. Step 3: Cross multiply
    101,898x = 152,864.28 × 31,763.34
  4. Step 4: Simplify right side
    101,898x = 4,855,480,099.50
  5. Step 5: Solve for x
    x = 4,855,480,099.50/101,898
  6. Step 6: Final answer
    x = 47,650.40

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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.