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Finding the Fourth Proportional to 76,823.66, 105,978.97 and 51,336.29

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Solution

The fourth proportional to 76,823.66, 105,978.97 and 51,336.29 is: 70,818.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,823.66 : 105,978.97 = 51,336.29 : x
  2. Step 2: Convert to fraction form
    76,823.66/105,978.97 = 51,336.29/x
  3. Step 3: Cross multiply
    76,823.66x = 105,978.97 × 51,336.29
  4. Step 4: Simplify right side
    76,823.66x = 5,440,566,870.81
  5. Step 5: Solve for x
    x = 5,440,566,870.81/76,823.66
  6. Step 6: Final answer
    x = 70,818.89

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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.