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Finding the Fourth Proportional to 103,288.80, 154,969.65 and 99,643.80

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Solution

The fourth proportional to 103,288.80, 154,969.65 and 99,643.80 is: 149,500.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,288.80 : 154,969.65 = 99,643.80 : x
  2. Step 2: Convert to fraction form
    103,288.80/154,969.65 = 99,643.80/x
  3. Step 3: Cross multiply
    103,288.80x = 154,969.65 × 99,643.80
  4. Step 4: Simplify right side
    103,288.80x = 15,441,764,810.67
  5. Step 5: Solve for x
    x = 15,441,764,810.67/103,288.80
  6. Step 6: Final answer
    x = 149,500.86

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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.