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Finding the Fourth Proportional to 65,248.80, 97,863.60 and 18,506.40

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Solution

The fourth proportional to 65,248.80, 97,863.60 and 18,506.40 is: 27,756.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,248.80 : 97,863.60 = 18,506.40 : x
  2. Step 2: Convert to fraction form
    65,248.80/97,863.60 = 18,506.40/x
  3. Step 3: Cross multiply
    65,248.80x = 97,863.60 × 18,506.40
  4. Step 4: Simplify right side
    65,248.80x = 1,811,102,927.04
  5. Step 5: Solve for x
    x = 1,811,102,927.04/65,248.80
  6. Step 6: Final answer
    x = 27,756.88

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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.