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Finding the Fourth Proportional to 76,763.34, 115,004.71 and 55,651.03

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Solution

The fourth proportional to 76,763.34, 115,004.71 and 55,651.03 is: 83,374.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,763.34 : 115,004.71 = 55,651.03 : x
  2. Step 2: Convert to fraction form
    76,763.34/115,004.71 = 55,651.03/x
  3. Step 3: Cross multiply
    76,763.34x = 115,004.71 × 55,651.03
  4. Step 4: Simplify right side
    76,763.34x = 6,400,130,566.35
  5. Step 5: Solve for x
    x = 6,400,130,566.35/76,763.34
  6. Step 6: Final answer
    x = 83,374.83

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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.