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Finding the Fourth Proportional to 121,461.76, 167,543.74 and 78,373.81

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Solution

The fourth proportional to 121,461.76, 167,543.74 and 78,373.81 is: 108,108.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,461.76 : 167,543.74 = 78,373.81 : x
  2. Step 2: Convert to fraction form
    121,461.76/167,543.74 = 78,373.81/x
  3. Step 3: Cross multiply
    121,461.76x = 167,543.74 × 78,373.81
  4. Step 4: Simplify right side
    121,461.76x = 13,131,041,245.45
  5. Step 5: Solve for x
    x = 13,131,041,245.45/121,461.76
  6. Step 6: Final answer
    x = 108,108.44

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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.