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Finding the Fourth Proportional to 76,883.74, 105,942.08 and 56,708.66

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Solution

The fourth proportional to 76,883.74, 105,942.08 and 56,708.66 is: 78,141.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,883.74 : 105,942.08 = 56,708.66 : x
  2. Step 2: Convert to fraction form
    76,883.74/105,942.08 = 56,708.66/x
  3. Step 3: Cross multiply
    76,883.74x = 105,942.08 × 56,708.66
  4. Step 4: Simplify right side
    76,883.74x = 6,007,833,801.04
  5. Step 5: Solve for x
    x = 6,007,833,801.04/76,883.74
  6. Step 6: Final answer
    x = 78,141.80

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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.