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Finding the Fourth Proportional to 76,654.55, 115,055.97 and 55,329.25

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Solution

The fourth proportional to 76,654.55, 115,055.97 and 55,329.25 is: 83,047.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,654.55 : 115,055.97 = 55,329.25 : x
  2. Step 2: Convert to fraction form
    76,654.55/115,055.97 = 55,329.25/x
  3. Step 3: Cross multiply
    76,654.55x = 115,055.97 × 55,329.25
  4. Step 4: Simplify right side
    76,654.55x = 6,365,960,528.12
  5. Step 5: Solve for x
    x = 6,365,960,528.12/76,654.55
  6. Step 6: Final answer
    x = 83,047.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.