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Finding the Fourth Proportional to 189,076.64, 260,922.42 and 103,036.40

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Solution

The fourth proportional to 189,076.64, 260,922.42 and 103,036.40 is: 142,188.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,076.64 : 260,922.42 = 103,036.40 : x
  2. Step 2: Convert to fraction form
    189,076.64/260,922.42 = 103,036.40/x
  3. Step 3: Cross multiply
    189,076.64x = 260,922.42 × 103,036.40
  4. Step 4: Simplify right side
    189,076.64x = 26,884,505,531.48
  5. Step 5: Solve for x
    x = 26,884,505,531.48/189,076.64
  6. Step 6: Final answer
    x = 142,188.40

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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.