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Finding the Fourth Proportional to 137,202.34, 205,803.51 and 90,444.28

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Solution

The fourth proportional to 137,202.34, 205,803.51 and 90,444.28 is: 135,666.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,202.34 : 205,803.51 = 90,444.28 : x
  2. Step 2: Convert to fraction form
    137,202.34/205,803.51 = 90,444.28/x
  3. Step 3: Cross multiply
    137,202.34x = 205,803.51 × 90,444.28
  4. Step 4: Simplify right side
    137,202.34x = 18,613,750,108.08
  5. Step 5: Solve for x
    x = 18,613,750,108.08/137,202.34
  6. Step 6: Final answer
    x = 135,666.42

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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.