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Finding the Fourth Proportional to 78,410.33, 116,785.55 and 78,028.02

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Solution

The fourth proportional to 78,410.33, 116,785.55 and 78,028.02 is: 116,216.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,410.33 : 116,785.55 = 78,028.02 : x
  2. Step 2: Convert to fraction form
    78,410.33/116,785.55 = 78,028.02/x
  3. Step 3: Cross multiply
    78,410.33x = 116,785.55 × 78,028.02
  4. Step 4: Simplify right side
    78,410.33x = 9,112,544,840.97
  5. Step 5: Solve for x
    x = 9,112,544,840.97/78,410.33
  6. Step 6: Final answer
    x = 116,216.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.