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Finding the Fourth Proportional to 65,458.10, 90,343.94 and 38,599

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Solution

The fourth proportional to 65,458.10, 90,343.94 and 38,599 is: 53,273.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,458.10 : 90,343.94 = 38,599 : x
  2. Step 2: Convert to fraction form
    65,458.10/90,343.94 = 38,599/x
  3. Step 3: Cross multiply
    65,458.10x = 90,343.94 × 38,599
  4. Step 4: Simplify right side
    65,458.10x = 3,487,185,740.06
  5. Step 5: Solve for x
    x = 3,487,185,740.06/65,458.10
  6. Step 6: Final answer
    x = 53,273.56

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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.