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Finding the Fourth Proportional to 142,675.56, 214,029.74 and 83,511.74

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Solution

The fourth proportional to 142,675.56, 214,029.74 and 83,511.74 is: 125,277.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,675.56 : 214,029.74 = 83,511.74 : x
  2. Step 2: Convert to fraction form
    142,675.56/214,029.74 = 83,511.74/x
  3. Step 3: Cross multiply
    142,675.56x = 214,029.74 × 83,511.74
  4. Step 4: Simplify right side
    142,675.56x = 17,873,996,743.00
  5. Step 5: Solve for x
    x = 17,873,996,743.00/142,675.56
  6. Step 6: Final answer
    x = 125,277.21

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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.