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Finding the Fourth Proportional to 137,223.69, 205,835.06 and 90,135.93

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Solution

The fourth proportional to 137,223.69, 205,835.06 and 90,135.93 is: 135,203.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,223.69 : 205,835.06 = 90,135.93 : x
  2. Step 2: Convert to fraction form
    137,223.69/205,835.06 = 90,135.93/x
  3. Step 3: Cross multiply
    137,223.69x = 205,835.06 × 90,135.93
  4. Step 4: Simplify right side
    137,223.69x = 18,553,134,109.03
  5. Step 5: Solve for x
    x = 18,553,134,109.03/137,223.69
  6. Step 6: Final answer
    x = 135,203.58

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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.