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Finding the Fourth Proportional to 103,224.42, 154,980 and 53,341.38

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Solution

The fourth proportional to 103,224.42, 154,980 and 53,341.38 is: 80,086.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,224.42 : 154,980 = 53,341.38 : x
  2. Step 2: Convert to fraction form
    103,224.42/154,980 = 53,341.38/x
  3. Step 3: Cross multiply
    103,224.42x = 154,980 × 53,341.38
  4. Step 4: Simplify right side
    103,224.42x = 8,266,847,072.40
  5. Step 5: Solve for x
    x = 8,266,847,072.40/103,224.42
  6. Step 6: Final answer
    x = 80,086.16

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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.