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Finding the Fourth Proportional to 78,692, 108,594.96 and 43,364

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Solution

The fourth proportional to 78,692, 108,594.96 and 43,364 is: 59,842.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,692 : 108,594.96 = 43,364 : x
  2. Step 2: Convert to fraction form
    78,692/108,594.96 = 43,364/x
  3. Step 3: Cross multiply
    78,692x = 108,594.96 × 43,364
  4. Step 4: Simplify right side
    78,692x = 4,709,111,845.44
  5. Step 5: Solve for x
    x = 4,709,111,845.44/78,692
  6. Step 6: Final answer
    x = 59,842.32

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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.