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Finding the Fourth Proportional to 77,409, 116,133.01 and 22,005

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Solution

The fourth proportional to 77,409, 116,133.01 and 22,005 is: 33,013.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,409 : 116,133.01 = 22,005 : x
  2. Step 2: Convert to fraction form
    77,409/116,133.01 = 22,005/x
  3. Step 3: Cross multiply
    77,409x = 116,133.01 × 22,005
  4. Step 4: Simplify right side
    77,409x = 2,555,506,830.04
  5. Step 5: Solve for x
    x = 2,555,506,830.04/77,409
  6. Step 6: Final answer
    x = 33,013.05

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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.