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Finding the Fourth Proportional to 212,393.52, 293,004.96 and 136,966.32

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Solution

The fourth proportional to 212,393.52, 293,004.96 and 136,966.32 is: 188,950.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,393.52 : 293,004.96 = 136,966.32 : x
  2. Step 2: Convert to fraction form
    212,393.52/293,004.96 = 136,966.32/x
  3. Step 3: Cross multiply
    212,393.52x = 293,004.96 × 136,966.32
  4. Step 4: Simplify right side
    212,393.52x = 40,131,811,112.95
  5. Step 5: Solve for x
    x = 40,131,811,112.95/212,393.52
  6. Step 6: Final answer
    x = 188,950.26

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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.