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Finding the Fourth Proportional to 137,220.90, 205,825.17 and 57,225.93

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Solution

The fourth proportional to 137,220.90, 205,825.17 and 57,225.93 is: 85,836.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,220.90 : 205,825.17 = 57,225.93 : x
  2. Step 2: Convert to fraction form
    137,220.90/205,825.17 = 57,225.93/x
  3. Step 3: Cross multiply
    137,220.90x = 205,825.17 × 57,225.93
  4. Step 4: Simplify right side
    137,220.90x = 11,778,536,770.66
  5. Step 5: Solve for x
    x = 11,778,536,770.66/137,220.90
  6. Step 6: Final answer
    x = 85,836.32

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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.