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Finding the Fourth Proportional to 78,068.81, 117,106.46 and 22,664.81

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Solution

The fourth proportional to 78,068.81, 117,106.46 and 22,664.81 is: 33,998.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,068.81 : 117,106.46 = 22,664.81 : x
  2. Step 2: Convert to fraction form
    78,068.81/117,106.46 = 22,664.81/x
  3. Step 3: Cross multiply
    78,068.81x = 117,106.46 × 22,664.81
  4. Step 4: Simplify right side
    78,068.81x = 2,654,195,665.67
  5. Step 5: Solve for x
    x = 2,654,195,665.67/78,068.81
  6. Step 6: Final answer
    x = 33,998.16

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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.