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Finding the Fourth Proportional to 215,903.88, 297,948.96 and 120,416.76

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Solution

The fourth proportional to 215,903.88, 297,948.96 and 120,416.76 is: 166,176.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,903.88 : 297,948.96 = 120,416.76 : x
  2. Step 2: Convert to fraction form
    215,903.88/297,948.96 = 120,416.76/x
  3. Step 3: Cross multiply
    215,903.88x = 297,948.96 × 120,416.76
  4. Step 4: Simplify right side
    215,903.88x = 35,878,048,408.57
  5. Step 5: Solve for x
    x = 35,878,048,408.57/215,903.88
  6. Step 6: Final answer
    x = 166,176.02

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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.