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Finding the Fourth Proportional to 285,047.84, 427,645.52 and 107,556.36

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Solution

The fourth proportional to 285,047.84, 427,645.52 and 107,556.36 is: 161,362.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,047.84 : 427,645.52 = 107,556.36 : x
  2. Step 2: Convert to fraction form
    285,047.84/427,645.52 = 107,556.36/x
  3. Step 3: Cross multiply
    285,047.84x = 427,645.52 × 107,556.36
  4. Step 4: Simplify right side
    285,047.84x = 45,995,995,501.51
  5. Step 5: Solve for x
    x = 45,995,995,501.51/285,047.84
  6. Step 6: Final answer
    x = 161,362.37

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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.