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Finding the Fourth Proportional to 145,866.78, 201,293.37 and 82,203.30

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Solution

The fourth proportional to 145,866.78, 201,293.37 and 82,203.30 is: 113,438.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,866.78 : 201,293.37 = 82,203.30 : x
  2. Step 2: Convert to fraction form
    145,866.78/201,293.37 = 82,203.30/x
  3. Step 3: Cross multiply
    145,866.78x = 201,293.37 × 82,203.30
  4. Step 4: Simplify right side
    145,866.78x = 16,546,979,282.12
  5. Step 5: Solve for x
    x = 16,546,979,282.12/145,866.78
  6. Step 6: Final answer
    x = 113,438.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.