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Finding the Fourth Proportional to 78,898.25, 108,880.44 and 43,089.30

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Solution

The fourth proportional to 78,898.25, 108,880.44 and 43,089.30 is: 59,463.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,898.25 : 108,880.44 = 43,089.30 : x
  2. Step 2: Convert to fraction form
    78,898.25/108,880.44 = 43,089.30/x
  3. Step 3: Cross multiply
    78,898.25x = 108,880.44 × 43,089.30
  4. Step 4: Simplify right side
    78,898.25x = 4,691,581,943.29
  5. Step 5: Solve for x
    x = 4,691,581,943.29/78,898.25
  6. Step 6: Final answer
    x = 59,463.70

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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.