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Finding the Fourth Proportional to 76,564.88, 105,654.12 and 43,035.92

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Solution

The fourth proportional to 76,564.88, 105,654.12 and 43,035.92 is: 59,386.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,564.88 : 105,654.12 = 43,035.92 : x
  2. Step 2: Convert to fraction form
    76,564.88/105,654.12 = 43,035.92/x
  3. Step 3: Cross multiply
    76,564.88x = 105,654.12 × 43,035.92
  4. Step 4: Simplify right side
    76,564.88x = 4,546,922,255.99
  5. Step 5: Solve for x
    x = 4,546,922,255.99/76,564.88
  6. Step 6: Final answer
    x = 59,386.53

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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.