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Finding the Fourth Proportional to 209,186.56, 288,719.44 and 124,287.28

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Solution

The fourth proportional to 209,186.56, 288,719.44 and 124,287.28 is: 171,541.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,186.56 : 288,719.44 = 124,287.28 : x
  2. Step 2: Convert to fraction form
    209,186.56/288,719.44 = 124,287.28/x
  3. Step 3: Cross multiply
    209,186.56x = 288,719.44 × 124,287.28
  4. Step 4: Simplify right side
    209,186.56x = 35,884,153,880.72
  5. Step 5: Solve for x
    x = 35,884,153,880.72/209,186.56
  6. Step 6: Final answer
    x = 171,541.39

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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.