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Finding the Fourth Proportional to 99,783.30, 149,573.67 and 85,217.88

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Solution

The fourth proportional to 99,783.30, 149,573.67 and 85,217.88 is: 127,740.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,783.30 : 149,573.67 = 85,217.88 : x
  2. Step 2: Convert to fraction form
    99,783.30/149,573.67 = 85,217.88/x
  3. Step 3: Cross multiply
    99,783.30x = 149,573.67 × 85,217.88
  4. Step 4: Simplify right side
    99,783.30x = 12,746,351,061.22
  5. Step 5: Solve for x
    x = 12,746,351,061.22/99,783.30
  6. Step 6: Final answer
    x = 127,740.32

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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.