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Finding the Fourth Proportional to 55,476.61, 83,206.71 and 20,408.06

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Solution

The fourth proportional to 55,476.61, 83,206.71 and 20,408.06 is: 30,609.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,476.61 : 83,206.71 = 20,408.06 : x
  2. Step 2: Convert to fraction form
    55,476.61/83,206.71 = 20,408.06/x
  3. Step 3: Cross multiply
    55,476.61x = 83,206.71 × 20,408.06
  4. Step 4: Simplify right side
    55,476.61x = 1,698,087,738.10
  5. Step 5: Solve for x
    x = 1,698,087,738.10/55,476.61
  6. Step 6: Final answer
    x = 30,609.08

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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.