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Finding the Fourth Proportional to 138,870, 208,305.09 and 33,688.98

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Solution

The fourth proportional to 138,870, 208,305.09 and 33,688.98 is: 50,533.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,870 : 208,305.09 = 33,688.98 : x
  2. Step 2: Convert to fraction form
    138,870/208,305.09 = 33,688.98/x
  3. Step 3: Cross multiply
    138,870x = 208,305.09 × 33,688.98
  4. Step 4: Simplify right side
    138,870x = 7,017,586,010.91
  5. Step 5: Solve for x
    x = 7,017,586,010.91/138,870
  6. Step 6: Final answer
    x = 50,533.49

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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.