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Finding the Fourth Proportional to 78,953.76, 108,986.40 and 48,744

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Solution

The fourth proportional to 78,953.76, 108,986.40 and 48,744 is: 67,285.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,953.76 : 108,986.40 = 48,744 : x
  2. Step 2: Convert to fraction form
    78,953.76/108,986.40 = 48,744/x
  3. Step 3: Cross multiply
    78,953.76x = 108,986.40 × 48,744
  4. Step 4: Simplify right side
    78,953.76x = 5,312,433,081.60
  5. Step 5: Solve for x
    x = 5,312,433,081.60/78,953.76
  6. Step 6: Final answer
    x = 67,285.37

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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.