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Finding the Fourth Proportional to 215,751.28, 297,746.85 and 120,258.66

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Solution

The fourth proportional to 215,751.28, 297,746.85 and 120,258.66 is: 165,962.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,751.28 : 297,746.85 = 120,258.66 : x
  2. Step 2: Convert to fraction form
    215,751.28/297,746.85 = 120,258.66/x
  3. Step 3: Cross multiply
    215,751.28x = 297,746.85 × 120,258.66
  4. Step 4: Simplify right side
    215,751.28x = 35,806,637,200.22
  5. Step 5: Solve for x
    x = 35,806,637,200.22/215,751.28
  6. Step 6: Final answer
    x = 165,962.57

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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.