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Finding the Fourth Proportional to 76,698.66, 105,876.81 and 51,562.74

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Solution

The fourth proportional to 76,698.66, 105,876.81 and 51,562.74 is: 71,178.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,698.66 : 105,876.81 = 51,562.74 : x
  2. Step 2: Convert to fraction form
    76,698.66/105,876.81 = 51,562.74/x
  3. Step 3: Cross multiply
    76,698.66x = 105,876.81 × 51,562.74
  4. Step 4: Simplify right side
    76,698.66x = 5,459,298,426.06
  5. Step 5: Solve for x
    x = 5,459,298,426.06/76,698.66
  6. Step 6: Final answer
    x = 71,178.54

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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.