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Finding the Fourth Proportional to 228,181.86, 342,199.99 and 78,386.03

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Solution

The fourth proportional to 228,181.86, 342,199.99 and 78,386.03 is: 117,554.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,181.86 : 342,199.99 = 78,386.03 : x
  2. Step 2: Convert to fraction form
    228,181.86/342,199.99 = 78,386.03/x
  3. Step 3: Cross multiply
    228,181.86x = 342,199.99 × 78,386.03
  4. Step 4: Simplify right side
    228,181.86x = 26,823,696,971.14
  5. Step 5: Solve for x
    x = 26,823,696,971.14/228,181.86
  6. Step 6: Final answer
    x = 117,554.03

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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.