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Finding the Fourth Proportional to 212,809.81, 293,679.48 and 117,319.90

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Solution

The fourth proportional to 212,809.81, 293,679.48 and 117,319.90 is: 161,902.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,809.81 : 293,679.48 = 117,319.90 : x
  2. Step 2: Convert to fraction form
    212,809.81/293,679.48 = 117,319.90/x
  3. Step 3: Cross multiply
    212,809.81x = 293,679.48 × 117,319.90
  4. Step 4: Simplify right side
    212,809.81x = 34,454,447,225.65
  5. Step 5: Solve for x
    x = 34,454,447,225.65/212,809.81
  6. Step 6: Final answer
    x = 161,902.53

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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.