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Finding the Fourth Proportional to 83,315.75, 114,975.74 and 45,590

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Solution

The fourth proportional to 83,315.75, 114,975.74 and 45,590 is: 62,914.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,315.75 : 114,975.74 = 45,590 : x
  2. Step 2: Convert to fraction form
    83,315.75/114,975.74 = 45,590/x
  3. Step 3: Cross multiply
    83,315.75x = 114,975.74 × 45,590
  4. Step 4: Simplify right side
    83,315.75x = 5,241,743,986.60
  5. Step 5: Solve for x
    x = 5,241,743,986.60/83,315.75
  6. Step 6: Final answer
    x = 62,914.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.