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Finding the Fourth Proportional to 145,474.42, 200,751.55 and 84,223.19

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Solution

The fourth proportional to 145,474.42, 200,751.55 and 84,223.19 is: 116,226.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,474.42 : 200,751.55 = 84,223.19 : x
  2. Step 2: Convert to fraction form
    145,474.42/200,751.55 = 84,223.19/x
  3. Step 3: Cross multiply
    145,474.42x = 200,751.55 × 84,223.19
  4. Step 4: Simplify right side
    145,474.42x = 16,907,935,938.44
  5. Step 5: Solve for x
    x = 16,907,935,938.44/145,474.42
  6. Step 6: Final answer
    x = 116,226.18

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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.