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Finding the Fourth Proportional to 55,203.84, 82,786.32 and 17,762.40

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Solution

The fourth proportional to 55,203.84, 82,786.32 and 17,762.40 is: 26,637.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,203.84 : 82,786.32 = 17,762.40 : x
  2. Step 2: Convert to fraction form
    55,203.84/82,786.32 = 17,762.40/x
  3. Step 3: Cross multiply
    55,203.84x = 82,786.32 × 17,762.40
  4. Step 4: Simplify right side
    55,203.84x = 1,470,483,730.37
  5. Step 5: Solve for x
    x = 1,470,483,730.37/55,203.84
  6. Step 6: Final answer
    x = 26,637.34

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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.