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Finding the Fourth Proportional to 77,490.44, 116,235.66 and 22,085

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Solution

The fourth proportional to 77,490.44, 116,235.66 and 22,085 is: 33,127.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,490.44 : 116,235.66 = 22,085 : x
  2. Step 2: Convert to fraction form
    77,490.44/116,235.66 = 22,085/x
  3. Step 3: Cross multiply
    77,490.44x = 116,235.66 × 22,085
  4. Step 4: Simplify right side
    77,490.44x = 2,567,064,551.10
  5. Step 5: Solve for x
    x = 2,567,064,551.10/77,490.44
  6. Step 6: Final answer
    x = 33,127.50

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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.