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Finding the Fourth Proportional to 110,007.40, 165,011.10 and 65,611.30

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Solution

The fourth proportional to 110,007.40, 165,011.10 and 65,611.30 is: 98,416.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,007.40 : 165,011.10 = 65,611.30 : x
  2. Step 2: Convert to fraction form
    110,007.40/165,011.10 = 65,611.30/x
  3. Step 3: Cross multiply
    110,007.40x = 165,011.10 × 65,611.30
  4. Step 4: Simplify right side
    110,007.40x = 10,826,592,785.43
  5. Step 5: Solve for x
    x = 10,826,592,785.43/110,007.40
  6. Step 6: Final answer
    x = 98,416.95

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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.