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Finding the Fourth Proportional to 215,754.52, 297,742.71 and 120,267.22

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Solution

The fourth proportional to 215,754.52, 297,742.71 and 120,267.22 is: 165,969.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,754.52 : 297,742.71 = 120,267.22 : x
  2. Step 2: Convert to fraction form
    215,754.52/297,742.71 = 120,267.22/x
  3. Step 3: Cross multiply
    215,754.52x = 297,742.71 × 120,267.22
  4. Step 4: Simplify right side
    215,754.52x = 35,808,688,006.97
  5. Step 5: Solve for x
    x = 35,808,688,006.97/215,754.52
  6. Step 6: Final answer
    x = 165,969.58

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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.