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Finding the Fourth Proportional to 78,838.92, 108,805.68 and 48,629.16

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Solution

The fourth proportional to 78,838.92, 108,805.68 and 48,629.16 is: 67,113.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,838.92 : 108,805.68 = 48,629.16 : x
  2. Step 2: Convert to fraction form
    78,838.92/108,805.68 = 48,629.16/x
  3. Step 3: Cross multiply
    78,838.92x = 108,805.68 × 48,629.16
  4. Step 4: Simplify right side
    78,838.92x = 5,291,128,821.63
  5. Step 5: Solve for x
    x = 5,291,128,821.63/78,838.92
  6. Step 6: Final answer
    x = 67,113.16

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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.