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Finding the Fourth Proportional to 65,319, 90,140.86 and 35,511.64

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Solution

The fourth proportional to 65,319, 90,140.86 and 35,511.64 is: 49,006.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,319 : 90,140.86 = 35,511.64 : x
  2. Step 2: Convert to fraction form
    65,319/90,140.86 = 35,511.64/x
  3. Step 3: Cross multiply
    65,319x = 90,140.86 × 35,511.64
  4. Step 4: Simplify right side
    65,319x = 3,201,049,769.61
  5. Step 5: Solve for x
    x = 3,201,049,769.61/65,319
  6. Step 6: Final answer
    x = 49,006.41

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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.