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Finding the Fourth Proportional to 65,688.96, 90,649.26 and 40,193.40

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Solution

The fourth proportional to 65,688.96, 90,649.26 and 40,193.40 is: 55,465.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,688.96 : 90,649.26 = 40,193.40 : x
  2. Step 2: Convert to fraction form
    65,688.96/90,649.26 = 40,193.40/x
  3. Step 3: Cross multiply
    65,688.96x = 90,649.26 × 40,193.40
  4. Step 4: Simplify right side
    65,688.96x = 3,643,501,966.88
  5. Step 5: Solve for x
    x = 3,643,501,966.88/65,688.96
  6. Step 6: Final answer
    x = 55,465.97

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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.