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Finding the Fourth Proportional to 118,770.74, 163,905.98 and 65,055.76

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Solution

The fourth proportional to 118,770.74, 163,905.98 and 65,055.76 is: 89,778.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,770.74 : 163,905.98 = 65,055.76 : x
  2. Step 2: Convert to fraction form
    118,770.74/163,905.98 = 65,055.76/x
  3. Step 3: Cross multiply
    118,770.74x = 163,905.98 × 65,055.76
  4. Step 4: Simplify right side
    118,770.74x = 10,663,028,097.44
  5. Step 5: Solve for x
    x = 10,663,028,097.44/118,770.74
  6. Step 6: Final answer
    x = 89,778.24

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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.