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Finding the Fourth Proportional to 137,224.40, 205,433.40 and 102,318.80

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Solution

The fourth proportional to 137,224.40, 205,433.40 and 102,318.80 is: 153,177.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,224.40 : 205,433.40 = 102,318.80 : x
  2. Step 2: Convert to fraction form
    137,224.40/205,433.40 = 102,318.80/x
  3. Step 3: Cross multiply
    137,224.40x = 205,433.40 × 102,318.80
  4. Step 4: Simplify right side
    137,224.40x = 21,019,698,967.92
  5. Step 5: Solve for x
    x = 21,019,698,967.92/137,224.40
  6. Step 6: Final answer
    x = 153,177.56

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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.