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Finding the Fourth Proportional to 215,165.88, 296,762.09 and 138,697.43

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Solution

The fourth proportional to 215,165.88, 296,762.09 and 138,697.43 is: 191,294.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,165.88 : 296,762.09 = 138,697.43 : x
  2. Step 2: Convert to fraction form
    215,165.88/296,762.09 = 138,697.43/x
  3. Step 3: Cross multiply
    215,165.88x = 296,762.09 × 138,697.43
  4. Step 4: Simplify right side
    215,165.88x = 41,160,137,027.13
  5. Step 5: Solve for x
    x = 41,160,137,027.13/215,165.88
  6. Step 6: Final answer
    x = 191,294.91

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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.