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Finding the Fourth Proportional to 216,825.99, 299,205.39 and 120,023.29

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Solution

The fourth proportional to 216,825.99, 299,205.39 and 120,023.29 is: 165,624.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,825.99 : 299,205.39 = 120,023.29 : x
  2. Step 2: Convert to fraction form
    216,825.99/299,205.39 = 120,023.29/x
  3. Step 3: Cross multiply
    216,825.99x = 299,205.39 × 120,023.29
  4. Step 4: Simplify right side
    216,825.99x = 35,911,615,293.53
  5. Step 5: Solve for x
    x = 35,911,615,293.53/216,825.99
  6. Step 6: Final answer
    x = 165,624.13

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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.