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Finding the Fourth Proportional to 78,306.54, 108,009.50 and 49,999.46

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Solution

The fourth proportional to 78,306.54, 108,009.50 and 49,999.46 is: 68,965.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,306.54 : 108,009.50 = 49,999.46 : x
  2. Step 2: Convert to fraction form
    78,306.54/108,009.50 = 49,999.46/x
  3. Step 3: Cross multiply
    78,306.54x = 108,009.50 × 49,999.46
  4. Step 4: Simplify right side
    78,306.54x = 5,400,416,674.87
  5. Step 5: Solve for x
    x = 5,400,416,674.87/78,306.54
  6. Step 6: Final answer
    x = 68,965.08

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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.