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Finding the Fourth Proportional to 84,042, 115,980.36 and 46,318.68

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Solution

The fourth proportional to 84,042, 115,980.36 and 46,318.68 is: 63,921.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,042 : 115,980.36 = 46,318.68 : x
  2. Step 2: Convert to fraction form
    84,042/115,980.36 = 46,318.68/x
  3. Step 3: Cross multiply
    84,042x = 115,980.36 × 46,318.68
  4. Step 4: Simplify right side
    84,042x = 5,372,057,181.12
  5. Step 5: Solve for x
    x = 5,372,057,181.12/84,042
  6. Step 6: Final answer
    x = 63,921.10

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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.