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Finding the Fourth Proportional to 72,765.44, 109,164.12 and 65,417.12

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Solution

The fourth proportional to 72,765.44, 109,164.12 and 65,417.12 is: 98,140.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,765.44 : 109,164.12 = 65,417.12 : x
  2. Step 2: Convert to fraction form
    72,765.44/109,164.12 = 65,417.12/x
  3. Step 3: Cross multiply
    72,765.44x = 109,164.12 × 65,417.12
  4. Step 4: Simplify right side
    72,765.44x = 7,141,202,337.73
  5. Step 5: Solve for x
    x = 7,141,202,337.73/72,765.44
  6. Step 6: Final answer
    x = 98,140.03

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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.