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Finding the Fourth Proportional to 144,048.56, 198,731.52 and 90,239.84

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Solution

The fourth proportional to 144,048.56, 198,731.52 and 90,239.84 is: 124,496.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,048.56 : 198,731.52 = 90,239.84 : x
  2. Step 2: Convert to fraction form
    144,048.56/198,731.52 = 90,239.84/x
  3. Step 3: Cross multiply
    144,048.56x = 198,731.52 × 90,239.84
  4. Step 4: Simplify right side
    144,048.56x = 17,933,500,567.76
  5. Step 5: Solve for x
    x = 17,933,500,567.76/144,048.56
  6. Step 6: Final answer
    x = 124,496.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.