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Finding the Fourth Proportional to 212,805.16, 293,672.01 and 117,309.76

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Solution

The fourth proportional to 212,805.16, 293,672.01 and 117,309.76 is: 161,887.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,805.16 : 293,672.01 = 117,309.76 : x
  2. Step 2: Convert to fraction form
    212,805.16/293,672.01 = 117,309.76/x
  3. Step 3: Cross multiply
    212,805.16x = 293,672.01 × 117,309.76
  4. Step 4: Simplify right side
    212,805.16x = 34,450,593,011.82
  5. Step 5: Solve for x
    x = 34,450,593,011.82/212,805.16
  6. Step 6: Final answer
    x = 161,887.96

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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.