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Finding the Fourth Proportional to 215,661.84, 297,609.32 and 120,166.48

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Solution

The fourth proportional to 215,661.84, 297,609.32 and 120,166.48 is: 165,827.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,661.84 : 297,609.32 = 120,166.48 : x
  2. Step 2: Convert to fraction form
    215,661.84/297,609.32 = 120,166.48/x
  3. Step 3: Cross multiply
    215,661.84x = 297,609.32 × 120,166.48
  4. Step 4: Simplify right side
    215,661.84x = 35,762,664,399.59
  5. Step 5: Solve for x
    x = 35,762,664,399.59/215,661.84
  6. Step 6: Final answer
    x = 165,827.50

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1.5x scale

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.