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Finding the Fourth Proportional to 111,680.54, 154,119.64 and 61,382.78

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Solution

The fourth proportional to 111,680.54, 154,119.64 and 61,382.78 is: 84,708.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,680.54 : 154,119.64 = 61,382.78 : x
  2. Step 2: Convert to fraction form
    111,680.54/154,119.64 = 61,382.78/x
  3. Step 3: Cross multiply
    111,680.54x = 154,119.64 × 61,382.78
  4. Step 4: Simplify right side
    111,680.54x = 9,460,291,031.74
  5. Step 5: Solve for x
    x = 9,460,291,031.74/111,680.54
  6. Step 6: Final answer
    x = 84,708.50

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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.