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Finding the Fourth Proportional to 39,145, 54,019.78 and 22,149.10

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Solution

The fourth proportional to 39,145, 54,019.78 and 22,149.10 is: 30,565.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,145 : 54,019.78 = 22,149.10 : x
  2. Step 2: Convert to fraction form
    39,145/54,019.78 = 22,149.10/x
  3. Step 3: Cross multiply
    39,145x = 54,019.78 × 22,149.10
  4. Step 4: Simplify right side
    39,145x = 1,196,489,509.20
  5. Step 5: Solve for x
    x = 1,196,489,509.20/39,145
  6. Step 6: Final answer
    x = 30,565.58

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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.