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Finding the Fourth Proportional to 127,978.80, 192,054.60 and 83,497.20

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Solution

The fourth proportional to 127,978.80, 192,054.60 and 83,497.20 is: 125,302.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,978.80 : 192,054.60 = 83,497.20 : x
  2. Step 2: Convert to fraction form
    127,978.80/192,054.60 = 83,497.20/x
  3. Step 3: Cross multiply
    127,978.80x = 192,054.60 × 83,497.20
  4. Step 4: Simplify right side
    127,978.80x = 16,036,021,347.12
  5. Step 5: Solve for x
    x = 16,036,021,347.12/127,978.80
  6. Step 6: Final answer
    x = 125,302.17

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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.