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Finding the Fourth Proportional to 188,038.32, 281,859.36 and 61,645.60

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Solution

The fourth proportional to 188,038.32, 281,859.36 and 61,645.60 is: 92,403.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,038.32 : 281,859.36 = 61,645.60 : x
  2. Step 2: Convert to fraction form
    188,038.32/281,859.36 = 61,645.60/x
  3. Step 3: Cross multiply
    188,038.32x = 281,859.36 × 61,645.60
  4. Step 4: Simplify right side
    188,038.32x = 17,375,389,362.82
  5. Step 5: Solve for x
    x = 17,375,389,362.82/188,038.32
  6. Step 6: Final answer
    x = 92,403.45

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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.