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Finding the Fourth Proportional to 212,645.70, 293,451.79 and 117,152.17

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Solution

The fourth proportional to 212,645.70, 293,451.79 and 117,152.17 is: 161,670.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,645.70 : 293,451.79 = 117,152.17 : x
  2. Step 2: Convert to fraction form
    212,645.70/293,451.79 = 117,152.17/x
  3. Step 3: Cross multiply
    212,645.70x = 293,451.79 × 117,152.17
  4. Step 4: Simplify right side
    212,645.70x = 34,378,512,962.37
  5. Step 5: Solve for x
    x = 34,378,512,962.37/212,645.70
  6. Step 6: Final answer
    x = 161,670.39

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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.