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Finding the Fourth Proportional to 117,106.83, 161,565.44 and 66,776.67

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Solution

The fourth proportional to 117,106.83, 161,565.44 and 66,776.67 is: 92,127.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,106.83 : 161,565.44 = 66,776.67 : x
  2. Step 2: Convert to fraction form
    117,106.83/161,565.44 = 66,776.67/x
  3. Step 3: Cross multiply
    117,106.83x = 161,565.44 × 66,776.67
  4. Step 4: Simplify right side
    117,106.83x = 10,788,801,736.40
  5. Step 5: Solve for x
    x = 10,788,801,736.40/117,106.83
  6. Step 6: Final answer
    x = 92,127.86

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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.