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Finding the Fourth Proportional to 77,472, 116,735.04 and 68,984.64

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Solution

The fourth proportional to 77,472, 116,735.04 and 68,984.64 is: 103,946.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,472 : 116,735.04 = 68,984.64 : x
  2. Step 2: Convert to fraction form
    77,472/116,735.04 = 68,984.64/x
  3. Step 3: Cross multiply
    77,472x = 116,735.04 × 68,984.64
  4. Step 4: Simplify right side
    77,472x = 8,052,924,709.79
  5. Step 5: Solve for x
    x = 8,052,924,709.79/77,472
  6. Step 6: Final answer
    x = 103,946.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.