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Finding the Fourth Proportional to 78,114, 117,190.98 and 22,710

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Solution

The fourth proportional to 78,114, 117,190.98 and 22,710 is: 34,070.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,114 : 117,190.98 = 22,710 : x
  2. Step 2: Convert to fraction form
    78,114/117,190.98 = 22,710/x
  3. Step 3: Cross multiply
    78,114x = 117,190.98 × 22,710
  4. Step 4: Simplify right side
    78,114x = 2,661,407,155.80
  5. Step 5: Solve for x
    x = 2,661,407,155.80/78,114
  6. Step 6: Final answer
    x = 34,070.81

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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.