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Finding the Fourth Proportional to 55,724, 83,586.08 and 18,788

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Solution

The fourth proportional to 55,724, 83,586.08 and 18,788 is: 28,182.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,724 : 83,586.08 = 18,788 : x
  2. Step 2: Convert to fraction form
    55,724/83,586.08 = 18,788/x
  3. Step 3: Cross multiply
    55,724x = 83,586.08 × 18,788
  4. Step 4: Simplify right side
    55,724x = 1,570,415,271.04
  5. Step 5: Solve for x
    x = 1,570,415,271.04/55,724
  6. Step 6: Final answer
    x = 28,182.03

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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.