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Finding the Fourth Proportional to 78,840, 118,224.36 and 22,667.22

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Solution

The fourth proportional to 78,840, 118,224.36 and 22,667.22 is: 33,990.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,840 : 118,224.36 = 22,667.22 : x
  2. Step 2: Convert to fraction form
    78,840/118,224.36 = 22,667.22/x
  3. Step 3: Cross multiply
    78,840x = 118,224.36 × 22,667.22
  4. Step 4: Simplify right side
    78,840x = 2,679,817,577.48
  5. Step 5: Solve for x
    x = 2,679,817,577.48/78,840
  6. Step 6: Final answer
    x = 33,990.58

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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.