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Finding the Fourth Proportional to 137,202.17, 205,803.25 and 90,444.11

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Solution

The fourth proportional to 137,202.17, 205,803.25 and 90,444.11 is: 135,666.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,202.17 : 205,803.25 = 90,444.11 : x
  2. Step 2: Convert to fraction form
    137,202.17/205,803.25 = 90,444.11/x
  3. Step 3: Cross multiply
    137,202.17x = 205,803.25 × 90,444.11
  4. Step 4: Simplify right side
    137,202.17x = 18,613,691,329.14
  5. Step 5: Solve for x
    x = 18,613,691,329.14/137,202.17
  6. Step 6: Final answer
    x = 135,666.16

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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.