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Finding the Fourth Proportional to 65,689.96, 90,650.64 and 40,194.40

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Solution

The fourth proportional to 65,689.96, 90,650.64 and 40,194.40 is: 55,467.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,689.96 : 90,650.64 = 40,194.40 : x
  2. Step 2: Convert to fraction form
    65,689.96/90,650.64 = 40,194.40/x
  3. Step 3: Cross multiply
    65,689.96x = 90,650.64 × 40,194.40
  4. Step 4: Simplify right side
    65,689.96x = 3,643,648,084.42
  5. Step 5: Solve for x
    x = 3,643,648,084.42/65,689.96
  6. Step 6: Final answer
    x = 55,467.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.