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Finding the Fourth Proportional to 55,858.55, 83,827.79 and 20,319.80

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Solution

The fourth proportional to 55,858.55, 83,827.79 and 20,319.80 is: 30,494.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,858.55 : 83,827.79 = 20,319.80 : x
  2. Step 2: Convert to fraction form
    55,858.55/83,827.79 = 20,319.80/x
  3. Step 3: Cross multiply
    55,858.55x = 83,827.79 × 20,319.80
  4. Step 4: Simplify right side
    55,858.55x = 1,703,363,406.50
  5. Step 5: Solve for x
    x = 1,703,363,406.50/55,858.55
  6. Step 6: Final answer
    x = 30,494.23

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1.5x scale

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.