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Finding the Fourth Proportional to 78,053.94, 117,102.78 and 31,339.62

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Solution

The fourth proportional to 78,053.94, 117,102.78 and 31,339.62 is: 47,018.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,053.94 : 117,102.78 = 31,339.62 : x
  2. Step 2: Convert to fraction form
    78,053.94/117,102.78 = 31,339.62/x
  3. Step 3: Cross multiply
    78,053.94x = 117,102.78 × 31,339.62
  4. Step 4: Simplify right side
    78,053.94x = 3,669,956,626.14
  5. Step 5: Solve for x
    x = 3,669,956,626.14/78,053.94
  6. Step 6: Final answer
    x = 47,018.21

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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.