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Finding the Fourth Proportional to 215,920.53, 297,970.79 and 120,424.77

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Solution

The fourth proportional to 215,920.53, 297,970.79 and 120,424.77 is: 166,186.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,920.53 : 297,970.79 = 120,424.77 : x
  2. Step 2: Convert to fraction form
    215,920.53/297,970.79 = 120,424.77/x
  3. Step 3: Cross multiply
    215,920.53x = 297,970.79 × 120,424.77
  4. Step 4: Simplify right side
    215,920.53x = 35,883,063,250.34
  5. Step 5: Solve for x
    x = 35,883,063,250.34/215,920.53
  6. Step 6: Final answer
    x = 166,186.44

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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.