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Finding the Fourth Proportional to 216,437.42, 298,677.90 and 120,944.90

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Solution

The fourth proportional to 216,437.42, 298,677.90 and 120,944.90 is: 166,900.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,437.42 : 298,677.90 = 120,944.90 : x
  2. Step 2: Convert to fraction form
    216,437.42/298,677.90 = 120,944.90/x
  3. Step 3: Cross multiply
    216,437.42x = 298,677.90 × 120,944.90
  4. Step 4: Simplify right side
    216,437.42x = 36,123,567,254.32
  5. Step 5: Solve for x
    x = 36,123,567,254.32/216,437.42
  6. Step 6: Final answer
    x = 166,900.75

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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.