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Finding the Fourth Proportional to 76,858, 106,151.52 and 51,663.76

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Solution

The fourth proportional to 76,858, 106,151.52 and 51,663.76 is: 71,354.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,858 : 106,151.52 = 51,663.76 : x
  2. Step 2: Convert to fraction form
    76,858/106,151.52 = 51,663.76/x
  3. Step 3: Cross multiply
    76,858x = 106,151.52 × 51,663.76
  4. Step 4: Simplify right side
    76,858x = 5,484,186,652.92
  5. Step 5: Solve for x
    x = 5,484,186,652.92/76,858
  6. Step 6: Final answer
    x = 71,354.79

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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.