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Finding the Fourth Proportional to 112,420, 155,071.72 and 74,165.96

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Solution

The fourth proportional to 112,420, 155,071.72 and 74,165.96 is: 102,304.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,420 : 155,071.72 = 74,165.96 : x
  2. Step 2: Convert to fraction form
    112,420/155,071.72 = 74,165.96/x
  3. Step 3: Cross multiply
    112,420x = 155,071.72 × 74,165.96
  4. Step 4: Simplify right side
    112,420x = 11,501,042,982.65
  5. Step 5: Solve for x
    x = 11,501,042,982.65/112,420
  6. Step 6: Final answer
    x = 102,304.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.