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Finding the Fourth Proportional to 57,585.20, 86,402.88 and 20,172.16

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Solution

The fourth proportional to 57,585.20, 86,402.88 and 20,172.16 is: 30,267.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,585.20 : 86,402.88 = 20,172.16 : x
  2. Step 2: Convert to fraction form
    57,585.20/86,402.88 = 20,172.16/x
  3. Step 3: Cross multiply
    57,585.20x = 86,402.88 × 20,172.16
  4. Step 4: Simplify right side
    57,585.20x = 1,742,932,719.82
  5. Step 5: Solve for x
    x = 1,742,932,719.82/57,585.20
  6. Step 6: Final answer
    x = 30,267.03

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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.