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Finding the Fourth Proportional to 78,455.37, 117,670.68 and 65,213.49

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Solution

The fourth proportional to 78,455.37, 117,670.68 and 65,213.49 is: 97,809.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,455.37 : 117,670.68 = 65,213.49 : x
  2. Step 2: Convert to fraction form
    78,455.37/117,670.68 = 65,213.49/x
  3. Step 3: Cross multiply
    78,455.37x = 117,670.68 × 65,213.49
  4. Step 4: Simplify right side
    78,455.37x = 7,673,715,713.47
  5. Step 5: Solve for x
    x = 7,673,715,713.47/78,455.37
  6. Step 6: Final answer
    x = 97,809.95

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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.