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Finding the Fourth Proportional to 78,365.81, 108,218.63 and 54,557.60

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Solution

The fourth proportional to 78,365.81, 108,218.63 and 54,557.60 is: 75,340.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,365.81 : 108,218.63 = 54,557.60 : x
  2. Step 2: Convert to fraction form
    78,365.81/108,218.63 = 54,557.60/x
  3. Step 3: Cross multiply
    78,365.81x = 108,218.63 × 54,557.60
  4. Step 4: Simplify right side
    78,365.81x = 5,904,148,323.39
  5. Step 5: Solve for x
    x = 5,904,148,323.39/78,365.81
  6. Step 6: Final answer
    x = 75,340.87

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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.