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Finding the Fourth Proportional to 76,765.71, 115,008.23 and 55,653.47

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Solution

The fourth proportional to 76,765.71, 115,008.23 and 55,653.47 is: 83,378.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,765.71 : 115,008.23 = 55,653.47 : x
  2. Step 2: Convert to fraction form
    76,765.71/115,008.23 = 55,653.47/x
  3. Step 3: Cross multiply
    76,765.71x = 115,008.23 × 55,653.47
  4. Step 4: Simplify right side
    76,765.71x = 6,400,607,078.06
  5. Step 5: Solve for x
    x = 6,400,607,078.06/76,765.71
  6. Step 6: Final answer
    x = 83,378.47

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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.