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Finding the Fourth Proportional to 65,291.80, 97,824.30 and 30,159.40

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Solution

The fourth proportional to 65,291.80, 97,824.30 and 30,159.40 is: 45,186.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,291.80 : 97,824.30 = 30,159.40 : x
  2. Step 2: Convert to fraction form
    65,291.80/97,824.30 = 30,159.40/x
  3. Step 3: Cross multiply
    65,291.80x = 97,824.30 × 30,159.40
  4. Step 4: Simplify right side
    65,291.80x = 2,950,322,193.42
  5. Step 5: Solve for x
    x = 2,950,322,193.42/65,291.80
  6. Step 6: Final answer
    x = 45,186.72

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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.