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Finding the Fourth Proportional to 146,810.32, 202,602 and 83,147.20

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Solution

The fourth proportional to 146,810.32, 202,602 and 83,147.20 is: 114,745.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,810.32 : 202,602 = 83,147.20 : x
  2. Step 2: Convert to fraction form
    146,810.32/202,602 = 83,147.20/x
  3. Step 3: Cross multiply
    146,810.32x = 202,602 × 83,147.20
  4. Step 4: Simplify right side
    146,810.32x = 16,845,789,014.40
  5. Step 5: Solve for x
    x = 16,845,789,014.40/146,810.32
  6. Step 6: Final answer
    x = 114,745.26

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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.