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Finding the Fourth Proportional to 132,909.13, 183,419 and 72,484.75

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Solution

The fourth proportional to 132,909.13, 183,419 and 72,484.75 is: 100,031.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,909.13 : 183,419 = 72,484.75 : x
  2. Step 2: Convert to fraction form
    132,909.13/183,419 = 72,484.75/x
  3. Step 3: Cross multiply
    132,909.13x = 183,419 × 72,484.75
  4. Step 4: Simplify right side
    132,909.13x = 13,295,080,360.25
  5. Step 5: Solve for x
    x = 13,295,080,360.25/132,909.13
  6. Step 6: Final answer
    x = 100,031.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.