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Finding the Fourth Proportional to 54,321.79, 74,962.65 and 30,450.01

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Solution

The fourth proportional to 54,321.79, 74,962.65 and 30,450.01 is: 42,020.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,321.79 : 74,962.65 = 30,450.01 : x
  2. Step 2: Convert to fraction form
    54,321.79/74,962.65 = 30,450.01/x
  3. Step 3: Cross multiply
    54,321.79x = 74,962.65 × 30,450.01
  4. Step 4: Simplify right side
    54,321.79x = 2,282,613,442.13
  5. Step 5: Solve for x
    x = 2,282,613,442.13/54,321.79
  6. Step 6: Final answer
    x = 42,020.22

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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.