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Finding the Fourth Proportional to 78,392.34, 108,185.16 and 48,178.92

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Solution

The fourth proportional to 78,392.34, 108,185.16 and 48,178.92 is: 66,489.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,392.34 : 108,185.16 = 48,178.92 : x
  2. Step 2: Convert to fraction form
    78,392.34/108,185.16 = 48,178.92/x
  3. Step 3: Cross multiply
    78,392.34x = 108,185.16 × 48,178.92
  4. Step 4: Simplify right side
    78,392.34x = 5,212,244,168.83
  5. Step 5: Solve for x
    x = 5,212,244,168.83/78,392.34
  6. Step 6: Final answer
    x = 66,489.20

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1.5x scale

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.