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Finding the Fourth Proportional to 83,648.66, 115,433.71 and 45,922.64

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Solution

The fourth proportional to 83,648.66, 115,433.71 and 45,922.64 is: 63,372.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,648.66 : 115,433.71 = 45,922.64 : x
  2. Step 2: Convert to fraction form
    83,648.66/115,433.71 = 45,922.64/x
  3. Step 3: Cross multiply
    83,648.66x = 115,433.71 × 45,922.64
  4. Step 4: Simplify right side
    83,648.66x = 5,301,020,016.22
  5. Step 5: Solve for x
    x = 5,301,020,016.22/83,648.66
  6. Step 6: Final answer
    x = 63,372.45

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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.