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Finding the Fourth Proportional to 55,800.52, 83,700.78 and 20,749

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Solution

The fourth proportional to 55,800.52, 83,700.78 and 20,749 is: 31,123.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,800.52 : 83,700.78 = 20,749 : x
  2. Step 2: Convert to fraction form
    55,800.52/83,700.78 = 20,749/x
  3. Step 3: Cross multiply
    55,800.52x = 83,700.78 × 20,749
  4. Step 4: Simplify right side
    55,800.52x = 1,736,707,484.22
  5. Step 5: Solve for x
    x = 1,736,707,484.22/55,800.52
  6. Step 6: Final answer
    x = 31,123.50

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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.