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Finding the Fourth Proportional to 110,425.40, 165,638.10 and 99,711.80

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Solution

The fourth proportional to 110,425.40, 165,638.10 and 99,711.80 is: 149,567.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,425.40 : 165,638.10 = 99,711.80 : x
  2. Step 2: Convert to fraction form
    110,425.40/165,638.10 = 99,711.80/x
  3. Step 3: Cross multiply
    110,425.40x = 165,638.10 × 99,711.80
  4. Step 4: Simplify right side
    110,425.40x = 16,516,073,099.58
  5. Step 5: Solve for x
    x = 16,516,073,099.58/110,425.40
  6. Step 6: Final answer
    x = 149,567.70

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1.5x scale

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.