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Finding the Fourth Proportional to 138,008.70, 190,447.15 and 76,754.59

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Solution

The fourth proportional to 138,008.70, 190,447.15 and 76,754.59 is: 105,918.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,008.70 : 190,447.15 = 76,754.59 : x
  2. Step 2: Convert to fraction form
    138,008.70/190,447.15 = 76,754.59/x
  3. Step 3: Cross multiply
    138,008.70x = 190,447.15 × 76,754.59
  4. Step 4: Simplify right side
    138,008.70x = 14,617,692,390.83
  5. Step 5: Solve for x
    x = 14,617,692,390.83/138,008.70
  6. Step 6: Final answer
    x = 105,918.63

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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.