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Finding the Fourth Proportional to 216,415.71, 298,648.08 and 120,923.19

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Solution

The fourth proportional to 216,415.71, 298,648.08 and 120,923.19 is: 166,870.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,415.71 : 298,648.08 = 120,923.19 : x
  2. Step 2: Convert to fraction form
    216,415.71/298,648.08 = 120,923.19/x
  3. Step 3: Cross multiply
    216,415.71x = 298,648.08 × 120,923.19
  4. Step 4: Simplify right side
    216,415.71x = 36,113,478,520.98
  5. Step 5: Solve for x
    x = 36,113,478,520.98/216,415.71
  6. Step 6: Final answer
    x = 166,870.87

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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.