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Finding the Fourth Proportional to 99,543.88, 149,336.82 and 32,980.20

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Solution

The fourth proportional to 99,543.88, 149,336.82 and 32,980.20 is: 49,477.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,543.88 : 149,336.82 = 32,980.20 : x
  2. Step 2: Convert to fraction form
    99,543.88/149,336.82 = 32,980.20/x
  3. Step 3: Cross multiply
    99,543.88x = 149,336.82 × 32,980.20
  4. Step 4: Simplify right side
    99,543.88x = 4,925,158,190.96
  5. Step 5: Solve for x
    x = 4,925,158,190.96/99,543.88
  6. Step 6: Final answer
    x = 49,477.26

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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.