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Finding the Fourth Proportional to 212,888.50, 293,792.92 and 122,262.87

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Solution

The fourth proportional to 212,888.50, 293,792.92 and 122,262.87 is: 168,726.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,888.50 : 293,792.92 = 122,262.87 : x
  2. Step 2: Convert to fraction form
    212,888.50/293,792.92 = 122,262.87/x
  3. Step 3: Cross multiply
    212,888.50x = 293,792.92 × 122,262.87
  4. Step 4: Simplify right side
    212,888.50x = 35,919,965,416.09
  5. Step 5: Solve for x
    x = 35,919,965,416.09/212,888.50
  6. Step 6: Final answer
    x = 168,726.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.