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Finding the Fourth Proportional to 65,409.40, 97,895.40 and 45,726.40

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Solution

The fourth proportional to 65,409.40, 97,895.40 and 45,726.40 is: 68,436.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,409.40 : 97,895.40 = 45,726.40 : x
  2. Step 2: Convert to fraction form
    65,409.40/97,895.40 = 45,726.40/x
  3. Step 3: Cross multiply
    65,409.40x = 97,895.40 × 45,726.40
  4. Step 4: Simplify right side
    65,409.40x = 4,476,404,218.56
  5. Step 5: Solve for x
    x = 4,476,404,218.56/65,409.40
  6. Step 6: Final answer
    x = 68,436.71

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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.