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Finding the Fourth Proportional to 137,206.48, 205,809.72 and 90,448.42

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Solution

The fourth proportional to 137,206.48, 205,809.72 and 90,448.42 is: 135,672.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,206.48 : 205,809.72 = 90,448.42 : x
  2. Step 2: Convert to fraction form
    137,206.48/205,809.72 = 90,448.42/x
  3. Step 3: Cross multiply
    137,206.48x = 205,809.72 × 90,448.42
  4. Step 4: Simplify right side
    137,206.48x = 18,615,163,994.64
  5. Step 5: Solve for x
    x = 18,615,163,994.64/137,206.48
  6. Step 6: Final answer
    x = 135,672.63

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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.