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Finding the Fourth Proportional to 65,633.60, 98,438.52 and 18,875

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Solution

The fourth proportional to 65,633.60, 98,438.52 and 18,875 is: 28,309.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,633.60 : 98,438.52 = 18,875 : x
  2. Step 2: Convert to fraction form
    65,633.60/98,438.52 = 18,875/x
  3. Step 3: Cross multiply
    65,633.60x = 98,438.52 × 18,875
  4. Step 4: Simplify right side
    65,633.60x = 1,858,027,065
  5. Step 5: Solve for x
    x = 1,858,027,065/65,633.60
  6. Step 6: Final answer
    x = 28,309.08

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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.