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Finding the Fourth Proportional to 142,029.38, 212,978.46 and 53,219.36

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Solution

The fourth proportional to 142,029.38, 212,978.46 and 53,219.36 is: 79,804.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,029.38 : 212,978.46 = 53,219.36 : x
  2. Step 2: Convert to fraction form
    142,029.38/212,978.46 = 53,219.36/x
  3. Step 3: Cross multiply
    142,029.38x = 212,978.46 × 53,219.36
  4. Step 4: Simplify right side
    142,029.38x = 11,334,577,334.99
  5. Step 5: Solve for x
    x = 11,334,577,334.99/142,029.38
  6. Step 6: Final answer
    x = 79,804.46

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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.