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Finding the Fourth Proportional to 142,477.76, 213,745.80 and 48,971.36

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Solution

The fourth proportional to 142,477.76, 213,745.80 and 48,971.36 is: 73,467.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,477.76 : 213,745.80 = 48,971.36 : x
  2. Step 2: Convert to fraction form
    142,477.76/213,745.80 = 48,971.36/x
  3. Step 3: Cross multiply
    142,477.76x = 213,745.80 × 48,971.36
  4. Step 4: Simplify right side
    142,477.76x = 10,467,422,520.29
  5. Step 5: Solve for x
    x = 10,467,422,520.29/142,477.76
  6. Step 6: Final answer
    x = 73,467.06

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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.