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Finding the Fourth Proportional to 100,385.78, 150,464.18 and 47,720.66

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Solution

The fourth proportional to 100,385.78, 150,464.18 and 47,720.66 is: 71,526.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,385.78 : 150,464.18 = 47,720.66 : x
  2. Step 2: Convert to fraction form
    100,385.78/150,464.18 = 47,720.66/x
  3. Step 3: Cross multiply
    100,385.78x = 150,464.18 × 47,720.66
  4. Step 4: Simplify right side
    100,385.78x = 7,180,249,342.94
  5. Step 5: Solve for x
    x = 7,180,249,342.94/100,385.78
  6. Step 6: Final answer
    x = 71,526.56

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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.