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Finding the Fourth Proportional to 78,532, 117,835.80 and 39,092.56

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Solution

The fourth proportional to 78,532, 117,835.80 and 39,092.56 is: 58,657.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,532 : 117,835.80 = 39,092.56 : x
  2. Step 2: Convert to fraction form
    78,532/117,835.80 = 39,092.56/x
  3. Step 3: Cross multiply
    78,532x = 117,835.80 × 39,092.56
  4. Step 4: Simplify right side
    78,532x = 4,606,503,081.65
  5. Step 5: Solve for x
    x = 4,606,503,081.65/78,532
  6. Step 6: Final answer
    x = 58,657.66

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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.