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Finding the Fourth Proportional to 76,787, 105,966.24 and 43,253

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Solution

The fourth proportional to 76,787, 105,966.24 and 43,253 is: 59,689.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,787 : 105,966.24 = 43,253 : x
  2. Step 2: Convert to fraction form
    76,787/105,966.24 = 43,253/x
  3. Step 3: Cross multiply
    76,787x = 105,966.24 × 43,253
  4. Step 4: Simplify right side
    76,787x = 4,583,357,778.72
  5. Step 5: Solve for x
    x = 4,583,357,778.72/76,787
  6. Step 6: Final answer
    x = 59,689.24

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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.