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Finding the Fourth Proportional to 137,908.59, 190,309.41 and 76,654.47

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Solution

The fourth proportional to 137,908.59, 190,309.41 and 76,654.47 is: 105,780.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,908.59 : 190,309.41 = 76,654.47 : x
  2. Step 2: Convert to fraction form
    137,908.59/190,309.41 = 76,654.47/x
  3. Step 3: Cross multiply
    137,908.59x = 190,309.41 × 76,654.47
  4. Step 4: Simplify right side
    137,908.59x = 14,588,066,959.56
  5. Step 5: Solve for x
    x = 14,588,066,959.56/137,908.59
  6. Step 6: Final answer
    x = 105,780.70

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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.