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Finding the Fourth Proportional to 216,412.68, 298,643.94 and 120,920.16

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Solution

The fourth proportional to 216,412.68, 298,643.94 and 120,920.16 is: 166,866.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,412.68 : 298,643.94 = 120,920.16 : x
  2. Step 2: Convert to fraction form
    216,412.68/298,643.94 = 120,920.16/x
  3. Step 3: Cross multiply
    216,412.68x = 298,643.94 × 120,920.16
  4. Step 4: Simplify right side
    216,412.68x = 36,112,073,007.83
  5. Step 5: Solve for x
    x = 36,112,073,007.83/216,412.68
  6. Step 6: Final answer
    x = 166,866.72

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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.