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Finding the Fourth Proportional to 210,659.85, 315,842.13 and 77,522.81

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Solution

The fourth proportional to 210,659.85, 315,842.13 and 77,522.81 is: 116,229.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,659.85 : 315,842.13 = 77,522.81 : x
  2. Step 2: Convert to fraction form
    210,659.85/315,842.13 = 77,522.81/x
  3. Step 3: Cross multiply
    210,659.85x = 315,842.13 × 77,522.81
  4. Step 4: Simplify right side
    210,659.85x = 24,484,967,854.77
  5. Step 5: Solve for x
    x = 24,484,967,854.77/210,659.85
  6. Step 6: Final answer
    x = 116,229.87

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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.