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Finding the Fourth Proportional to 127,981.62, 176,571.09 and 77,670.90

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Solution

The fourth proportional to 127,981.62, 176,571.09 and 77,670.90 is: 107,159.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,981.62 : 176,571.09 = 77,670.90 : x
  2. Step 2: Convert to fraction form
    127,981.62/176,571.09 = 77,670.90/x
  3. Step 3: Cross multiply
    127,981.62x = 176,571.09 × 77,670.90
  4. Step 4: Simplify right side
    127,981.62x = 13,714,435,474.28
  5. Step 5: Solve for x
    x = 13,714,435,474.28/127,981.62
  6. Step 6: Final answer
    x = 107,159.41

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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.