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Finding the Fourth Proportional to 215,842.40, 297,848.52 and 120,343.40

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Solution

The fourth proportional to 215,842.40, 297,848.52 and 120,343.40 is: 166,066.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,842.40 : 297,848.52 = 120,343.40 : x
  2. Step 2: Convert to fraction form
    215,842.40/297,848.52 = 120,343.40/x
  3. Step 3: Cross multiply
    215,842.40x = 297,848.52 × 120,343.40
  4. Step 4: Simplify right side
    215,842.40x = 35,844,103,581.77
  5. Step 5: Solve for x
    x = 35,844,103,581.77/215,842.40
  6. Step 6: Final answer
    x = 166,066.09

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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.