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Finding the Fourth Proportional to 86,841, 119,840.74 and 47,097

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Solution

The fourth proportional to 86,841, 119,840.74 and 47,097 is: 64,993.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,841 : 119,840.74 = 47,097 : x
  2. Step 2: Convert to fraction form
    86,841/119,840.74 = 47,097/x
  3. Step 3: Cross multiply
    86,841x = 119,840.74 × 47,097
  4. Step 4: Simplify right side
    86,841x = 5,644,139,331.78
  5. Step 5: Solve for x
    x = 5,644,139,331.78/86,841
  6. Step 6: Final answer
    x = 64,993.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.