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Finding the Fourth Proportional to 215,502.63, 297,323.78 and 119,990.67

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Solution

The fourth proportional to 215,502.63, 297,323.78 and 119,990.67 is: 165,548.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,502.63 : 297,323.78 = 119,990.67 : x
  2. Step 2: Convert to fraction form
    215,502.63/297,323.78 = 119,990.67/x
  3. Step 3: Cross multiply
    215,502.63x = 297,323.78 × 119,990.67
  4. Step 4: Simplify right side
    215,502.63x = 35,676,078,969.18
  5. Step 5: Solve for x
    x = 35,676,078,969.18/215,502.63
  6. Step 6: Final answer
    x = 165,548.23

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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.