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Finding the Fourth Proportional to 78,206.44, 117,301.50 and 22,045.12

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Solution

The fourth proportional to 78,206.44, 117,301.50 and 22,045.12 is: 33,065.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,206.44 : 117,301.50 = 22,045.12 : x
  2. Step 2: Convert to fraction form
    78,206.44/117,301.50 = 22,045.12/x
  3. Step 3: Cross multiply
    78,206.44x = 117,301.50 × 22,045.12
  4. Step 4: Simplify right side
    78,206.44x = 2,585,925,643.68
  5. Step 5: Solve for x
    x = 2,585,925,643.68/78,206.44
  6. Step 6: Final answer
    x = 33,065.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.