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Finding the Fourth Proportional to 65,023.60, 97,538.10 and 20,649.10

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Solution

The fourth proportional to 65,023.60, 97,538.10 and 20,649.10 is: 30,974.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,023.60 : 97,538.10 = 20,649.10 : x
  2. Step 2: Convert to fraction form
    65,023.60/97,538.10 = 20,649.10/x
  3. Step 3: Cross multiply
    65,023.60x = 97,538.10 × 20,649.10
  4. Step 4: Simplify right side
    65,023.60x = 2,014,073,980.71
  5. Step 5: Solve for x
    x = 2,014,073,980.71/65,023.60
  6. Step 6: Final answer
    x = 30,974.51

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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.