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Finding the Fourth Proportional to 78,536, 117,841.80 and 39,096.56

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Solution

The fourth proportional to 78,536, 117,841.80 and 39,096.56 is: 58,663.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,536 : 117,841.80 = 39,096.56 : x
  2. Step 2: Convert to fraction form
    78,536/117,841.80 = 39,096.56/x
  3. Step 3: Cross multiply
    78,536x = 117,841.80 × 39,096.56
  4. Step 4: Simplify right side
    78,536x = 4,607,209,004.21
  5. Step 5: Solve for x
    x = 4,607,209,004.21/78,536
  6. Step 6: Final answer
    x = 58,663.66

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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.