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Finding the Fourth Proportional to 78,428.96, 108,152.31 and 67,135.84

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Solution

The fourth proportional to 78,428.96, 108,152.31 and 67,135.84 is: 92,579.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,428.96 : 108,152.31 = 67,135.84 : x
  2. Step 2: Convert to fraction form
    78,428.96/108,152.31 = 67,135.84/x
  3. Step 3: Cross multiply
    78,428.96x = 108,152.31 × 67,135.84
  4. Step 4: Simplify right side
    78,428.96x = 7,260,896,161.17
  5. Step 5: Solve for x
    x = 7,260,896,161.17/78,428.96
  6. Step 6: Final answer
    x = 92,579.28

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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.