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Finding the Fourth Proportional to 124,623.36, 186,978.77 and 77,821.56

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Solution

The fourth proportional to 124,623.36, 186,978.77 and 77,821.56 is: 116,759.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,623.36 : 186,978.77 = 77,821.56 : x
  2. Step 2: Convert to fraction form
    124,623.36/186,978.77 = 77,821.56/x
  3. Step 3: Cross multiply
    124,623.36x = 186,978.77 × 77,821.56
  4. Step 4: Simplify right side
    124,623.36x = 14,550,979,179.17
  5. Step 5: Solve for x
    x = 14,550,979,179.17/124,623.36
  6. Step 6: Final answer
    x = 116,759.64

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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.