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Finding the Fourth Proportional to 65,286.80, 97,816.80 and 30,154.40

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Solution

The fourth proportional to 65,286.80, 97,816.80 and 30,154.40 is: 45,179.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,286.80 : 97,816.80 = 30,154.40 : x
  2. Step 2: Convert to fraction form
    65,286.80/97,816.80 = 30,154.40/x
  3. Step 3: Cross multiply
    65,286.80x = 97,816.80 × 30,154.40
  4. Step 4: Simplify right side
    65,286.80x = 2,949,606,913.92
  5. Step 5: Solve for x
    x = 2,949,606,913.92/65,286.80
  6. Step 6: Final answer
    x = 45,179.22

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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.