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Finding the Fourth Proportional to 76,656.64, 105,787.02 and 43,122.64

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Solution

The fourth proportional to 76,656.64, 105,787.02 and 43,122.64 is: 59,509.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,656.64 : 105,787.02 = 43,122.64 : x
  2. Step 2: Convert to fraction form
    76,656.64/105,787.02 = 43,122.64/x
  3. Step 3: Cross multiply
    76,656.64x = 105,787.02 × 43,122.64
  4. Step 4: Simplify right side
    76,656.64x = 4,561,815,580.13
  5. Step 5: Solve for x
    x = 4,561,815,580.13/76,656.64
  6. Step 6: Final answer
    x = 59,509.73

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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.