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Finding the Fourth Proportional to 117,930.74, 162,746.36 and 64,216.80

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Solution

The fourth proportional to 117,930.74, 162,746.36 and 64,216.80 is: 88,620.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,930.74 : 162,746.36 = 64,216.80 : x
  2. Step 2: Convert to fraction form
    117,930.74/162,746.36 = 64,216.80/x
  3. Step 3: Cross multiply
    117,930.74x = 162,746.36 × 64,216.80
  4. Step 4: Simplify right side
    117,930.74x = 10,451,050,129.76
  5. Step 5: Solve for x
    x = 10,451,050,129.76/117,930.74
  6. Step 6: Final answer
    x = 88,620.24

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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.