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Finding the Fourth Proportional to 65,826.92, 90,852 and 40,347.45

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Solution

The fourth proportional to 65,826.92, 90,852 and 40,347.45 is: 55,686.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,826.92 : 90,852 = 40,347.45 : x
  2. Step 2: Convert to fraction form
    65,826.92/90,852 = 40,347.45/x
  3. Step 3: Cross multiply
    65,826.92x = 90,852 × 40,347.45
  4. Step 4: Simplify right side
    65,826.92x = 3,665,646,527.40
  5. Step 5: Solve for x
    x = 3,665,646,527.40/65,826.92
  6. Step 6: Final answer
    x = 55,686.14

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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.