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Finding the Fourth Proportional to 210,639.90, 315,950.13 and 52,864.86

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Solution

The fourth proportional to 210,639.90, 315,950.13 and 52,864.86 is: 79,294.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,639.90 : 315,950.13 = 52,864.86 : x
  2. Step 2: Convert to fraction form
    210,639.90/315,950.13 = 52,864.86/x
  3. Step 3: Cross multiply
    210,639.90x = 315,950.13 × 52,864.86
  4. Step 4: Simplify right side
    210,639.90x = 16,702,659,389.43
  5. Step 5: Solve for x
    x = 16,702,659,389.43/210,639.90
  6. Step 6: Final answer
    x = 79,294.85

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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.