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Finding the Fourth Proportional to 136,055.65, 187,772 and 82,370.26

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Solution

The fourth proportional to 136,055.65, 187,772 and 82,370.26 is: 113,680.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,055.65 : 187,772 = 82,370.26 : x
  2. Step 2: Convert to fraction form
    136,055.65/187,772 = 82,370.26/x
  3. Step 3: Cross multiply
    136,055.65x = 187,772 × 82,370.26
  4. Step 4: Simplify right side
    136,055.65x = 15,466,828,460.72
  5. Step 5: Solve for x
    x = 15,466,828,460.72/136,055.65
  6. Step 6: Final answer
    x = 113,680.16

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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.