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Finding the Fourth Proportional to 133,107.76, 183,687.31 and 72,678.22

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Solution

The fourth proportional to 133,107.76, 183,687.31 and 72,678.22 is: 100,295.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,107.76 : 183,687.31 = 72,678.22 : x
  2. Step 2: Convert to fraction form
    133,107.76/183,687.31 = 72,678.22/x
  3. Step 3: Cross multiply
    133,107.76x = 183,687.31 × 72,678.22
  4. Step 4: Simplify right side
    133,107.76x = 13,350,066,359.02
  5. Step 5: Solve for x
    x = 13,350,066,359.02/133,107.76
  6. Step 6: Final answer
    x = 100,295.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.