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Finding the Fourth Proportional to 55,749.50, 83,624.25 and 18,813.50

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Solution

The fourth proportional to 55,749.50, 83,624.25 and 18,813.50 is: 28,220.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,749.50 : 83,624.25 = 18,813.50 : x
  2. Step 2: Convert to fraction form
    55,749.50/83,624.25 = 18,813.50/x
  3. Step 3: Cross multiply
    55,749.50x = 83,624.25 × 18,813.50
  4. Step 4: Simplify right side
    55,749.50x = 1,573,264,827.38
  5. Step 5: Solve for x
    x = 1,573,264,827.38/55,749.50
  6. Step 6: Final answer
    x = 28,220.25

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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.