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Finding the Fourth Proportional to 161,472.64, 241,858.88 and 78,192

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Solution

The fourth proportional to 161,472.64, 241,858.88 and 78,192 is: 117,118.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,472.64 : 241,858.88 = 78,192 : x
  2. Step 2: Convert to fraction form
    161,472.64/241,858.88 = 78,192/x
  3. Step 3: Cross multiply
    161,472.64x = 241,858.88 × 78,192
  4. Step 4: Simplify right side
    161,472.64x = 18,911,429,544.96
  5. Step 5: Solve for x
    x = 18,911,429,544.96/161,472.64
  6. Step 6: Final answer
    x = 117,118.48

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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.