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Finding the Fourth Proportional to 76,486.84, 105,509.34 and 71,074.48

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Solution

The fourth proportional to 76,486.84, 105,509.34 and 71,074.48 is: 98,043.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,486.84 : 105,509.34 = 71,074.48 : x
  2. Step 2: Convert to fraction form
    76,486.84/105,509.34 = 71,074.48/x
  3. Step 3: Cross multiply
    76,486.84x = 105,509.34 × 71,074.48
  4. Step 4: Simplify right side
    76,486.84x = 7,499,021,475.64
  5. Step 5: Solve for x
    x = 7,499,021,475.64/76,486.84
  6. Step 6: Final answer
    x = 98,043.29

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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.