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Finding the Fourth Proportional to 351,337.75, 527,021.21 and 102,019.75

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Solution

The fourth proportional to 351,337.75, 527,021.21 and 102,019.75 is: 153,033.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,337.75 : 527,021.21 = 102,019.75 : x
  2. Step 2: Convert to fraction form
    351,337.75/527,021.21 = 102,019.75/x
  3. Step 3: Cross multiply
    351,337.75x = 527,021.21 × 102,019.75
  4. Step 4: Simplify right side
    351,337.75x = 53,766,572,088.90
  5. Step 5: Solve for x
    x = 53,766,572,088.90/351,337.75
  6. Step 6: Final answer
    x = 153,033.86

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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.