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Finding the Fourth Proportional to 78,421.65, 117,566.31 and 34,014.95

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Solution

The fourth proportional to 78,421.65, 117,566.31 and 34,014.95 is: 50,993.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,421.65 : 117,566.31 = 34,014.95 : x
  2. Step 2: Convert to fraction form
    78,421.65/117,566.31 = 34,014.95/x
  3. Step 3: Cross multiply
    78,421.65x = 117,566.31 × 34,014.95
  4. Step 4: Simplify right side
    78,421.65x = 3,999,012,136.93
  5. Step 5: Solve for x
    x = 3,999,012,136.93/78,421.65
  6. Step 6: Final answer
    x = 50,993.73

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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.