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Finding the Fourth Proportional to 76,842.20, 115,263.12 and 21,438.20

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Solution

The fourth proportional to 76,842.20, 115,263.12 and 21,438.20 is: 32,157.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,842.20 : 115,263.12 = 21,438.20 : x
  2. Step 2: Convert to fraction form
    76,842.20/115,263.12 = 21,438.20/x
  3. Step 3: Cross multiply
    76,842.20x = 115,263.12 × 21,438.20
  4. Step 4: Simplify right side
    76,842.20x = 2,471,033,819.18
  5. Step 5: Solve for x
    x = 2,471,033,819.18/76,842.20
  6. Step 6: Final answer
    x = 32,157.25

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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.