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Finding the Fourth Proportional to 77,987.80, 117,000.60 and 22,583.80

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Solution

The fourth proportional to 77,987.80, 117,000.60 and 22,583.80 is: 33,881.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,987.80 : 117,000.60 = 22,583.80 : x
  2. Step 2: Convert to fraction form
    77,987.80/117,000.60 = 22,583.80/x
  3. Step 3: Cross multiply
    77,987.80x = 117,000.60 × 22,583.80
  4. Step 4: Simplify right side
    77,987.80x = 2,642,318,150.28
  5. Step 5: Solve for x
    x = 2,642,318,150.28/77,987.80
  6. Step 6: Final answer
    x = 33,881.17

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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.