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Finding the Fourth Proportional to 90,109.53, 135,184.83 and 47,967.41

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Solution

The fourth proportional to 90,109.53, 135,184.83 and 47,967.41 is: 71,962.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,109.53 : 135,184.83 = 47,967.41 : x
  2. Step 2: Convert to fraction form
    90,109.53/135,184.83 = 47,967.41/x
  3. Step 3: Cross multiply
    90,109.53x = 135,184.83 × 47,967.41
  4. Step 4: Simplify right side
    90,109.53x = 6,484,466,017.85
  5. Step 5: Solve for x
    x = 6,484,466,017.85/90,109.53
  6. Step 6: Final answer
    x = 71,962.04

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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.