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Finding the Fourth Proportional to 75,742, 113,078.80 and 57,878.32

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Solution

The fourth proportional to 75,742, 113,078.80 and 57,878.32 is: 86,409.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,742 : 113,078.80 = 57,878.32 : x
  2. Step 2: Convert to fraction form
    75,742/113,078.80 = 57,878.32/x
  3. Step 3: Cross multiply
    75,742x = 113,078.80 × 57,878.32
  4. Step 4: Simplify right side
    75,742x = 6,544,810,971.62
  5. Step 5: Solve for x
    x = 6,544,810,971.62/75,742
  6. Step 6: Final answer
    x = 86,409.27

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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.