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Finding the Fourth Proportional to 110,015.80, 165,023.70 and 76,838.20

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Solution

The fourth proportional to 110,015.80, 165,023.70 and 76,838.20 is: 115,257.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,015.80 : 165,023.70 = 76,838.20 : x
  2. Step 2: Convert to fraction form
    110,015.80/165,023.70 = 76,838.20/x
  3. Step 3: Cross multiply
    110,015.80x = 165,023.70 × 76,838.20
  4. Step 4: Simplify right side
    110,015.80x = 12,680,124,065.34
  5. Step 5: Solve for x
    x = 12,680,124,065.34/110,015.80
  6. Step 6: Final answer
    x = 115,257.30

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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.