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Finding the Fourth Proportional to 216,411.68, 298,642.54 and 120,919.16

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Solution

The fourth proportional to 216,411.68, 298,642.54 and 120,919.16 is: 166,865.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,411.68 : 298,642.54 = 120,919.16 : x
  2. Step 2: Convert to fraction form
    216,411.68/298,642.54 = 120,919.16/x
  3. Step 3: Cross multiply
    216,411.68x = 298,642.54 × 120,919.16
  4. Step 4: Simplify right side
    216,411.68x = 36,111,605,077.07
  5. Step 5: Solve for x
    x = 36,111,605,077.07/216,411.68
  6. Step 6: Final answer
    x = 166,865.32

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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.