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Finding the Fourth Proportional to 55,838.02, 83,739.02 and 18,389.20

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Solution

The fourth proportional to 55,838.02, 83,739.02 and 18,389.20 is: 27,577.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,838.02 : 83,739.02 = 18,389.20 : x
  2. Step 2: Convert to fraction form
    55,838.02/83,739.02 = 18,389.20/x
  3. Step 3: Cross multiply
    55,838.02x = 83,739.02 × 18,389.20
  4. Step 4: Simplify right side
    55,838.02x = 1,539,893,586.58
  5. Step 5: Solve for x
    x = 1,539,893,586.58/55,838.02
  6. Step 6: Final answer
    x = 27,577.87

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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.