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Finding the Fourth Proportional to 57,408.04, 86,112 and 15,288.16

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Solution

The fourth proportional to 57,408.04, 86,112 and 15,288.16 is: 22,932.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,408.04 : 86,112 = 15,288.16 : x
  2. Step 2: Convert to fraction form
    57,408.04/86,112 = 15,288.16/x
  3. Step 3: Cross multiply
    57,408.04x = 86,112 × 15,288.16
  4. Step 4: Simplify right side
    57,408.04x = 1,316,494,033.92
  5. Step 5: Solve for x
    x = 1,316,494,033.92/57,408.04
  6. Step 6: Final answer
    x = 22,932.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.