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Finding the Fourth Proportional to 78,590.96, 117,843.36 and 31,158

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Solution

The fourth proportional to 78,590.96, 117,843.36 and 31,158 is: 46,719.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,590.96 : 117,843.36 = 31,158 : x
  2. Step 2: Convert to fraction form
    78,590.96/117,843.36 = 31,158/x
  3. Step 3: Cross multiply
    78,590.96x = 117,843.36 × 31,158
  4. Step 4: Simplify right side
    78,590.96x = 3,671,763,410.88
  5. Step 5: Solve for x
    x = 3,671,763,410.88/78,590.96
  6. Step 6: Final answer
    x = 46,719.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.