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Finding the Fourth Proportional to 212,571, 293,361.28 and 117,077.66

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Solution

The fourth proportional to 212,571, 293,361.28 and 117,077.66 is: 161,574.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,571 : 293,361.28 = 117,077.66 : x
  2. Step 2: Convert to fraction form
    212,571/293,361.28 = 117,077.66/x
  3. Step 3: Cross multiply
    212,571x = 293,361.28 × 117,077.66
  4. Step 4: Simplify right side
    212,571x = 34,346,052,197.00
  5. Step 5: Solve for x
    x = 34,346,052,197.00/212,571
  6. Step 6: Final answer
    x = 161,574.50

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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.