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Finding the Fourth Proportional to 78,614.06, 117,822.67 and 61,908.11

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Solution

The fourth proportional to 78,614.06, 117,822.67 and 61,908.11 is: 92,784.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,614.06 : 117,822.67 = 61,908.11 : x
  2. Step 2: Convert to fraction form
    78,614.06/117,822.67 = 61,908.11/x
  3. Step 3: Cross multiply
    78,614.06x = 117,822.67 × 61,908.11
  4. Step 4: Simplify right side
    78,614.06x = 7,294,178,505.31
  5. Step 5: Solve for x
    x = 7,294,178,505.31/78,614.06
  6. Step 6: Final answer
    x = 92,784.66

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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.