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Finding the Fourth Proportional to 212,346.16, 293,049.80 and 121,717.20

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Solution

The fourth proportional to 212,346.16, 293,049.80 and 121,717.20 is: 167,976.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,346.16 : 293,049.80 = 121,717.20 : x
  2. Step 2: Convert to fraction form
    212,346.16/293,049.80 = 121,717.20/x
  3. Step 3: Cross multiply
    212,346.16x = 293,049.80 × 121,717.20
  4. Step 4: Simplify right side
    212,346.16x = 35,669,201,116.56
  5. Step 5: Solve for x
    x = 35,669,201,116.56/212,346.16
  6. Step 6: Final answer
    x = 167,976.67

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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.