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Finding the Fourth Proportional to 127,321.96, 190,981.68 and 77,415.82

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Solution

The fourth proportional to 127,321.96, 190,981.68 and 77,415.82 is: 116,122.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,321.96 : 190,981.68 = 77,415.82 : x
  2. Step 2: Convert to fraction form
    127,321.96/190,981.68 = 77,415.82/x
  3. Step 3: Cross multiply
    127,321.96x = 190,981.68 × 77,415.82
  4. Step 4: Simplify right side
    127,321.96x = 14,785,003,362.18
  5. Step 5: Solve for x
    x = 14,785,003,362.18/127,321.96
  6. Step 6: Final answer
    x = 116,122.96

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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.