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Finding the Fourth Proportional to 216,406.24, 298,642.12 and 120,916.96

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Solution

The fourth proportional to 216,406.24, 298,642.12 and 120,916.96 is: 166,866.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,406.24 : 298,642.12 = 120,916.96 : x
  2. Step 2: Convert to fraction form
    216,406.24/298,642.12 = 120,916.96/x
  3. Step 3: Cross multiply
    216,406.24x = 298,642.12 × 120,916.96
  4. Step 4: Simplify right side
    216,406.24x = 36,110,897,278.36
  5. Step 5: Solve for x
    x = 36,110,897,278.36/216,406.24
  6. Step 6: Final answer
    x = 166,866.25

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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.