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Finding the Fourth Proportional to 55,749, 83,623.50 and 18,813

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Solution

The fourth proportional to 55,749, 83,623.50 and 18,813 is: 28,219.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,749 : 83,623.50 = 18,813 : x
  2. Step 2: Convert to fraction form
    55,749/83,623.50 = 18,813/x
  3. Step 3: Cross multiply
    55,749x = 83,623.50 × 18,813
  4. Step 4: Simplify right side
    55,749x = 1,573,208,905.50
  5. Step 5: Solve for x
    x = 1,573,208,905.50/55,749
  6. Step 6: Final answer
    x = 28,219.50

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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.