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Finding the Fourth Proportional to 212,421.78, 293,142 and 116,928

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Solution

The fourth proportional to 212,421.78, 293,142 and 116,928 is: 161,360.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,421.78 : 293,142 = 116,928 : x
  2. Step 2: Convert to fraction form
    212,421.78/293,142 = 116,928/x
  3. Step 3: Cross multiply
    212,421.78x = 293,142 × 116,928
  4. Step 4: Simplify right side
    212,421.78x = 34,276,507,776
  5. Step 5: Solve for x
    x = 34,276,507,776/212,421.78
  6. Step 6: Final answer
    x = 161,360.61

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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.