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Finding the Fourth Proportional to 137,897.60, 190,292.28 and 76,640.94

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Solution

The fourth proportional to 137,897.60, 190,292.28 and 76,640.94 is: 105,760.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,897.60 : 190,292.28 = 76,640.94 : x
  2. Step 2: Convert to fraction form
    137,897.60/190,292.28 = 76,640.94/x
  3. Step 3: Cross multiply
    137,897.60x = 190,292.28 × 76,640.94
  4. Step 4: Simplify right side
    137,897.60x = 14,584,179,213.94
  5. Step 5: Solve for x
    x = 14,584,179,213.94/137,897.60
  6. Step 6: Final answer
    x = 105,760.94

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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.