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Finding the Fourth Proportional to 218,411.88, 301,324.64 and 135,587.01

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Solution

The fourth proportional to 218,411.88, 301,324.64 and 135,587.01 is: 187,058.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,411.88 : 301,324.64 = 135,587.01 : x
  2. Step 2: Convert to fraction form
    218,411.88/301,324.64 = 135,587.01/x
  3. Step 3: Cross multiply
    218,411.88x = 301,324.64 × 135,587.01
  4. Step 4: Simplify right side
    218,411.88x = 40,855,707,428.96
  5. Step 5: Solve for x
    x = 40,855,707,428.96/218,411.88
  6. Step 6: Final answer
    x = 187,058.09

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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.