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Finding the Fourth Proportional to 65,142.20, 97,713.30 and 61,205.60

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Solution

The fourth proportional to 65,142.20, 97,713.30 and 61,205.60 is: 91,808.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,142.20 : 97,713.30 = 61,205.60 : x
  2. Step 2: Convert to fraction form
    65,142.20/97,713.30 = 61,205.60/x
  3. Step 3: Cross multiply
    65,142.20x = 97,713.30 × 61,205.60
  4. Step 4: Simplify right side
    65,142.20x = 5,980,601,154.48
  5. Step 5: Solve for x
    x = 5,980,601,154.48/65,142.20
  6. Step 6: Final answer
    x = 91,808.40

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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.