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Finding the Fourth Proportional to 65,412.40, 97,899.90 and 45,729.40

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Solution

The fourth proportional to 65,412.40, 97,899.90 and 45,729.40 is: 68,441.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,412.40 : 97,899.90 = 45,729.40 : x
  2. Step 2: Convert to fraction form
    65,412.40/97,899.90 = 45,729.40/x
  3. Step 3: Cross multiply
    65,412.40x = 97,899.90 × 45,729.40
  4. Step 4: Simplify right side
    65,412.40x = 4,476,903,687.06
  5. Step 5: Solve for x
    x = 4,476,903,687.06/65,412.40
  6. Step 6: Final answer
    x = 68,441.21

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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.