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Finding the Fourth Proportional to 78,111, 117,186.48 and 22,707

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Solution

The fourth proportional to 78,111, 117,186.48 and 22,707 is: 34,066.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,111 : 117,186.48 = 22,707 : x
  2. Step 2: Convert to fraction form
    78,111/117,186.48 = 22,707/x
  3. Step 3: Cross multiply
    78,111x = 117,186.48 × 22,707
  4. Step 4: Simplify right side
    78,111x = 2,660,953,401.36
  5. Step 5: Solve for x
    x = 2,660,953,401.36/78,111
  6. Step 6: Final answer
    x = 34,066.31

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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.