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Finding the Fourth Proportional to 147,953.89, 204,172.26 and 83,422.56

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Solution

The fourth proportional to 147,953.89, 204,172.26 and 83,422.56 is: 115,120.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,953.89 : 204,172.26 = 83,422.56 : x
  2. Step 2: Convert to fraction form
    147,953.89/204,172.26 = 83,422.56/x
  3. Step 3: Cross multiply
    147,953.89x = 204,172.26 × 83,422.56
  4. Step 4: Simplify right side
    147,953.89x = 17,032,572,610.19
  5. Step 5: Solve for x
    x = 17,032,572,610.19/147,953.89
  6. Step 6: Final answer
    x = 115,120.82

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