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Finding the Fourth Proportional to 78,726.57, 117,984.12 and 43,134.36

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Solution

The fourth proportional to 78,726.57, 117,984.12 and 43,134.36 is: 64,643.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,726.57 : 117,984.12 = 43,134.36 : x
  2. Step 2: Convert to fraction form
    78,726.57/117,984.12 = 43,134.36/x
  3. Step 3: Cross multiply
    78,726.57x = 117,984.12 × 43,134.36
  4. Step 4: Simplify right side
    78,726.57x = 5,089,169,506.36
  5. Step 5: Solve for x
    x = 5,089,169,506.36/78,726.57
  6. Step 6: Final answer
    x = 64,643.61

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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.