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Finding the Fourth Proportional to 99,810.30, 149,715.45 and 82,095.60

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Solution

The fourth proportional to 99,810.30, 149,715.45 and 82,095.60 is: 123,143.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,810.30 : 149,715.45 = 82,095.60 : x
  2. Step 2: Convert to fraction form
    99,810.30/149,715.45 = 82,095.60/x
  3. Step 3: Cross multiply
    99,810.30x = 149,715.45 × 82,095.60
  4. Step 4: Simplify right side
    99,810.30x = 12,290,979,697.02
  5. Step 5: Solve for x
    x = 12,290,979,697.02/99,810.30
  6. Step 6: Final answer
    x = 123,143.40

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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.