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Finding the Fourth Proportional to 55,399.95, 83,078.06 and 20,320.47

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Solution

The fourth proportional to 55,399.95, 83,078.06 and 20,320.47 is: 30,472.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,399.95 : 83,078.06 = 20,320.47 : x
  2. Step 2: Convert to fraction form
    55,399.95/83,078.06 = 20,320.47/x
  3. Step 3: Cross multiply
    55,399.95x = 83,078.06 × 20,320.47
  4. Step 4: Simplify right side
    55,399.95x = 1,688,185,124.29
  5. Step 5: Solve for x
    x = 1,688,185,124.29/55,399.95
  6. Step 6: Final answer
    x = 30,472.68

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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.