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Finding the Fourth Proportional to 127,890.76, 191,891.40 and 68,657.24

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Solution

The fourth proportional to 127,890.76, 191,891.40 and 68,657.24 is: 103,015.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,890.76 : 191,891.40 = 68,657.24 : x
  2. Step 2: Convert to fraction form
    127,890.76/191,891.40 = 68,657.24/x
  3. Step 3: Cross multiply
    127,890.76x = 191,891.40 × 68,657.24
  4. Step 4: Simplify right side
    127,890.76x = 13,174,733,903.74
  5. Step 5: Solve for x
    x = 13,174,733,903.74/127,890.76
  6. Step 6: Final answer
    x = 103,015.53

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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.