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Finding the Fourth Proportional to 116,114, 160,239.18 and 65,138.10

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Solution

The fourth proportional to 116,114, 160,239.18 and 65,138.10 is: 89,891.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,114 : 160,239.18 = 65,138.10 : x
  2. Step 2: Convert to fraction form
    116,114/160,239.18 = 65,138.10/x
  3. Step 3: Cross multiply
    116,114x = 160,239.18 × 65,138.10
  4. Step 4: Simplify right side
    116,114x = 10,437,675,730.76
  5. Step 5: Solve for x
    x = 10,437,675,730.76/116,114
  6. Step 6: Final answer
    x = 89,891.62

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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.