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Finding the Fourth Proportional to 147,403.35, 203,417.31 and 83,744.64

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Solution

The fourth proportional to 147,403.35, 203,417.31 and 83,744.64 is: 115,567.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,403.35 : 203,417.31 = 83,744.64 : x
  2. Step 2: Convert to fraction form
    147,403.35/203,417.31 = 83,744.64/x
  3. Step 3: Cross multiply
    147,403.35x = 203,417.31 × 83,744.64
  4. Step 4: Simplify right side
    147,403.35x = 17,035,109,395.72
  5. Step 5: Solve for x
    x = 17,035,109,395.72/147,403.35
  6. Step 6: Final answer
    x = 115,567.99

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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.