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Finding the Fourth Proportional to 57,034, 78,707.04 and 38,216.08

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Solution

The fourth proportional to 57,034, 78,707.04 and 38,216.08 is: 52,738.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,034 : 78,707.04 = 38,216.08 : x
  2. Step 2: Convert to fraction form
    57,034/78,707.04 = 38,216.08/x
  3. Step 3: Cross multiply
    57,034x = 78,707.04 × 38,216.08
  4. Step 4: Simplify right side
    57,034x = 3,007,874,537.20
  5. Step 5: Solve for x
    x = 3,007,874,537.20/57,034
  6. Step 6: Final answer
    x = 52,738.27

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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.