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Finding the Fourth Proportional to 76,823.10, 105,978.20 and 51,335.72

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Solution

The fourth proportional to 76,823.10, 105,978.20 and 51,335.72 is: 70,818.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,823.10 : 105,978.20 = 51,335.72 : x
  2. Step 2: Convert to fraction form
    76,823.10/105,978.20 = 51,335.72/x
  3. Step 3: Cross multiply
    76,823.10x = 105,978.20 × 51,335.72
  4. Step 4: Simplify right side
    76,823.10x = 5,440,467,408.28
  5. Step 5: Solve for x
    x = 5,440,467,408.28/76,823.10
  6. Step 6: Final answer
    x = 70,818.12

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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.