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Finding the Fourth Proportional to 110,145.40, 165,218.10 and 102,709.60

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Solution

The fourth proportional to 110,145.40, 165,218.10 and 102,709.60 is: 154,064.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,145.40 : 165,218.10 = 102,709.60 : x
  2. Step 2: Convert to fraction form
    110,145.40/165,218.10 = 102,709.60/x
  3. Step 3: Cross multiply
    110,145.40x = 165,218.10 × 102,709.60
  4. Step 4: Simplify right side
    110,145.40x = 16,969,484,963.76
  5. Step 5: Solve for x
    x = 16,969,484,963.76/110,145.40
  6. Step 6: Final answer
    x = 154,064.40

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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.