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Finding the Fourth Proportional to 78,969.35, 108,942.66 and 47,119.74

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Solution

The fourth proportional to 78,969.35, 108,942.66 and 47,119.74 is: 65,004.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,969.35 : 108,942.66 = 47,119.74 : x
  2. Step 2: Convert to fraction form
    78,969.35/108,942.66 = 47,119.74/x
  3. Step 3: Cross multiply
    78,969.35x = 108,942.66 × 47,119.74
  4. Step 4: Simplify right side
    78,969.35x = 5,133,349,814.11
  5. Step 5: Solve for x
    x = 5,133,349,814.11/78,969.35
  6. Step 6: Final answer
    x = 65,004.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.