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Finding the Fourth Proportional to 121,730.76, 167,976.14 and 83,523.20

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Solution

The fourth proportional to 121,730.76, 167,976.14 and 83,523.20 is: 115,253.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,730.76 : 167,976.14 = 83,523.20 : x
  2. Step 2: Convert to fraction form
    121,730.76/167,976.14 = 83,523.20/x
  3. Step 3: Cross multiply
    121,730.76x = 167,976.14 × 83,523.20
  4. Step 4: Simplify right side
    121,730.76x = 14,029,904,736.45
  5. Step 5: Solve for x
    x = 14,029,904,736.45/121,730.76
  6. Step 6: Final answer
    x = 115,253.57

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1.5x scale

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.