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Finding the Fourth Proportional to 227,897.19, 340,978.43 and 137,607.57

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Solution

The fourth proportional to 227,897.19, 340,978.43 and 137,607.57 is: 205,887.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,897.19 : 340,978.43 = 137,607.57 : x
  2. Step 2: Convert to fraction form
    227,897.19/340,978.43 = 137,607.57/x
  3. Step 3: Cross multiply
    227,897.19x = 340,978.43 × 137,607.57
  4. Step 4: Simplify right side
    227,897.19x = 46,921,212,486.68
  5. Step 5: Solve for x
    x = 46,921,212,486.68/227,897.19
  6. Step 6: Final answer
    x = 205,887.63

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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.