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Finding the Fourth Proportional to 142,745.78, 214,118.04 and 42,905.54

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Solution

The fourth proportional to 142,745.78, 214,118.04 and 42,905.54 is: 64,358.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,745.78 : 214,118.04 = 42,905.54 : x
  2. Step 2: Convert to fraction form
    142,745.78/214,118.04 = 42,905.54/x
  3. Step 3: Cross multiply
    142,745.78x = 214,118.04 × 42,905.54
  4. Step 4: Simplify right side
    142,745.78x = 9,186,850,129.94
  5. Step 5: Solve for x
    x = 9,186,850,129.94/142,745.78
  6. Step 6: Final answer
    x = 64,358.12

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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.