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Finding the Fourth Proportional to 78,295.48, 108,007.50 and 49,566.40

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Solution

The fourth proportional to 78,295.48, 108,007.50 and 49,566.40 is: 68,376.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,295.48 : 108,007.50 = 49,566.40 : x
  2. Step 2: Convert to fraction form
    78,295.48/108,007.50 = 49,566.40/x
  3. Step 3: Cross multiply
    78,295.48x = 108,007.50 × 49,566.40
  4. Step 4: Simplify right side
    78,295.48x = 5,353,542,948
  5. Step 5: Solve for x
    x = 5,353,542,948/78,295.48
  6. Step 6: Final answer
    x = 68,376.14

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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.