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Finding the Fourth Proportional to 100,385.30, 150,577.95 and 76,765.70

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Solution

The fourth proportional to 100,385.30, 150,577.95 and 76,765.70 is: 115,148.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,385.30 : 150,577.95 = 76,765.70 : x
  2. Step 2: Convert to fraction form
    100,385.30/150,577.95 = 76,765.70/x
  3. Step 3: Cross multiply
    100,385.30x = 150,577.95 × 76,765.70
  4. Step 4: Simplify right side
    100,385.30x = 11,559,221,736.32
  5. Step 5: Solve for x
    x = 11,559,221,736.32/100,385.30
  6. Step 6: Final answer
    x = 115,148.55

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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.