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Finding the Fourth Proportional to 78,395.60, 108,078.81 and 53,865.66

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Solution

The fourth proportional to 78,395.60, 108,078.81 and 53,865.66 is: 74,261.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,395.60 : 108,078.81 = 53,865.66 : x
  2. Step 2: Convert to fraction form
    78,395.60/108,078.81 = 53,865.66/x
  3. Step 3: Cross multiply
    78,395.60x = 108,078.81 × 53,865.66
  4. Step 4: Simplify right side
    78,395.60x = 5,821,736,028.02
  5. Step 5: Solve for x
    x = 5,821,736,028.02/78,395.60
  6. Step 6: Final answer
    x = 74,261.01

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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.