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Finding the Fourth Proportional to 137,218.90, 205,822.17 and 57,223.93

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Solution

The fourth proportional to 137,218.90, 205,822.17 and 57,223.93 is: 85,833.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,218.90 : 205,822.17 = 57,223.93 : x
  2. Step 2: Convert to fraction form
    137,218.90/205,822.17 = 57,223.93/x
  3. Step 3: Cross multiply
    137,218.90x = 205,822.17 × 57,223.93
  4. Step 4: Simplify right side
    137,218.90x = 11,777,953,448.53
  5. Step 5: Solve for x
    x = 11,777,953,448.53/137,218.90
  6. Step 6: Final answer
    x = 85,833.32

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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.