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Finding the Fourth Proportional to 39,145, 54,020.10 and 22,378.36

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Solution

The fourth proportional to 39,145, 54,020.10 and 22,378.36 is: 30,882.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,145 : 54,020.10 = 22,378.36 : x
  2. Step 2: Convert to fraction form
    39,145/54,020.10 = 22,378.36/x
  3. Step 3: Cross multiply
    39,145x = 54,020.10 × 22,378.36
  4. Step 4: Simplify right side
    39,145x = 1,208,881,245.04
  5. Step 5: Solve for x
    x = 1,208,881,245.04/39,145
  6. Step 6: Final answer
    x = 30,882.14

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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.