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Finding the Fourth Proportional to 235,878.48, 353,752 and 78,119.24

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Solution

The fourth proportional to 235,878.48, 353,752 and 78,119.24 is: 117,157.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,878.48 : 353,752 = 78,119.24 : x
  2. Step 2: Convert to fraction form
    235,878.48/353,752 = 78,119.24/x
  3. Step 3: Cross multiply
    235,878.48x = 353,752 × 78,119.24
  4. Step 4: Simplify right side
    235,878.48x = 27,634,837,388.48
  5. Step 5: Solve for x
    x = 27,634,837,388.48/235,878.48
  6. Step 6: Final answer
    x = 117,157.09

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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.