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Finding the Fourth Proportional to 76,986.91, 106,218.70 and 44,715.30

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Solution

The fourth proportional to 76,986.91, 106,218.70 and 44,715.30 is: 61,693.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,986.91 : 106,218.70 = 44,715.30 : x
  2. Step 2: Convert to fraction form
    76,986.91/106,218.70 = 44,715.30/x
  3. Step 3: Cross multiply
    76,986.91x = 106,218.70 × 44,715.30
  4. Step 4: Simplify right side
    76,986.91x = 4,749,601,036.11
  5. Step 5: Solve for x
    x = 4,749,601,036.11/76,986.91
  6. Step 6: Final answer
    x = 61,693.62

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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.