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Finding the Fourth Proportional to 57,120, 85,681.12 and 15,568.08

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Solution

The fourth proportional to 57,120, 85,681.12 and 15,568.08 is: 23,352.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,120 : 85,681.12 = 15,568.08 : x
  2. Step 2: Convert to fraction form
    57,120/85,681.12 = 15,568.08/x
  3. Step 3: Cross multiply
    57,120x = 85,681.12 × 15,568.08
  4. Step 4: Simplify right side
    57,120x = 1,333,890,530.65
  5. Step 5: Solve for x
    x = 1,333,890,530.65/57,120
  6. Step 6: Final answer
    x = 23,352.43

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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.