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Finding the Fourth Proportional to 116,257.65, 160,434.17 and 65,269.12

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Solution

The fourth proportional to 116,257.65, 160,434.17 and 65,269.12 is: 90,070.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,257.65 : 160,434.17 = 65,269.12 : x
  2. Step 2: Convert to fraction form
    116,257.65/160,434.17 = 65,269.12/x
  3. Step 3: Cross multiply
    116,257.65x = 160,434.17 × 65,269.12
  4. Step 4: Simplify right side
    116,257.65x = 10,471,396,460.75
  5. Step 5: Solve for x
    x = 10,471,396,460.75/116,257.65
  6. Step 6: Final answer
    x = 90,070.60

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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.