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Finding the Fourth Proportional to 76,842.76, 106,038.90 and 49,571.08

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Solution

The fourth proportional to 76,842.76, 106,038.90 and 49,571.08 is: 68,405.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,842.76 : 106,038.90 = 49,571.08 : x
  2. Step 2: Convert to fraction form
    76,842.76/106,038.90 = 49,571.08/x
  3. Step 3: Cross multiply
    76,842.76x = 106,038.90 × 49,571.08
  4. Step 4: Simplify right side
    76,842.76x = 5,256,462,795.01
  5. Step 5: Solve for x
    x = 5,256,462,795.01/76,842.76
  6. Step 6: Final answer
    x = 68,405.44

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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.