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Finding the Fourth Proportional to 111,984.64, 154,539.84 and 61,684

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Solution

The fourth proportional to 111,984.64, 154,539.84 and 61,684 is: 85,124.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,984.64 : 154,539.84 = 61,684 : x
  2. Step 2: Convert to fraction form
    111,984.64/154,539.84 = 61,684/x
  3. Step 3: Cross multiply
    111,984.64x = 154,539.84 × 61,684
  4. Step 4: Simplify right side
    111,984.64x = 9,532,635,490.56
  5. Step 5: Solve for x
    x = 9,532,635,490.56/111,984.64
  6. Step 6: Final answer
    x = 85,124.49

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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.