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Finding the Fourth Proportional to 77,234.71, 115,848.61 and 21,074.64

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Solution

The fourth proportional to 77,234.71, 115,848.61 and 21,074.64 is: 31,611.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,234.71 : 115,848.61 = 21,074.64 : x
  2. Step 2: Convert to fraction form
    77,234.71/115,848.61 = 21,074.64/x
  3. Step 3: Cross multiply
    77,234.71x = 115,848.61 × 21,074.64
  4. Step 4: Simplify right side
    77,234.71x = 2,441,467,776.59
  5. Step 5: Solve for x
    x = 2,441,467,776.59/77,234.71
  6. Step 6: Final answer
    x = 31,611.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.