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Finding the Fourth Proportional to 78,323.70, 108,083.80 and 42,512.94

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Solution

The fourth proportional to 78,323.70, 108,083.80 and 42,512.94 is: 58,666.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,323.70 : 108,083.80 = 42,512.94 : x
  2. Step 2: Convert to fraction form
    78,323.70/108,083.80 = 42,512.94/x
  3. Step 3: Cross multiply
    78,323.70x = 108,083.80 × 42,512.94
  4. Step 4: Simplify right side
    78,323.70x = 4,594,960,104.37
  5. Step 5: Solve for x
    x = 4,594,960,104.37/78,323.70
  6. Step 6: Final answer
    x = 58,666.28

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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.