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Finding the Fourth Proportional to 121,740.22, 167,864.77 and 78,663

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Solution

The fourth proportional to 121,740.22, 167,864.77 and 78,663 is: 108,466.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,740.22 : 167,864.77 = 78,663 : x
  2. Step 2: Convert to fraction form
    121,740.22/167,864.77 = 78,663/x
  3. Step 3: Cross multiply
    121,740.22x = 167,864.77 × 78,663
  4. Step 4: Simplify right side
    121,740.22x = 13,204,746,402.51
  5. Step 5: Solve for x
    x = 13,204,746,402.51/121,740.22
  6. Step 6: Final answer
    x = 108,466.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.