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Finding the Fourth Proportional to 193,477.82, 290,328.78 and 81,148.01

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Solution

The fourth proportional to 193,477.82, 290,328.78 and 81,148.01 is: 121,769.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,477.82 : 290,328.78 = 81,148.01 : x
  2. Step 2: Convert to fraction form
    193,477.82/290,328.78 = 81,148.01/x
  3. Step 3: Cross multiply
    193,477.82x = 290,328.78 × 81,148.01
  4. Step 4: Simplify right side
    193,477.82x = 23,559,602,742.73
  5. Step 5: Solve for x
    x = 23,559,602,742.73/193,477.82
  6. Step 6: Final answer
    x = 121,769.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.