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Finding the Fourth Proportional to 54,969, 75,857.24 and 31,095.16

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Solution

The fourth proportional to 54,969, 75,857.24 and 31,095.16 is: 42,911.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,969 : 75,857.24 = 31,095.16 : x
  2. Step 2: Convert to fraction form
    54,969/75,857.24 = 31,095.16/x
  3. Step 3: Cross multiply
    54,969x = 75,857.24 × 31,095.16
  4. Step 4: Simplify right side
    54,969x = 2,358,793,014.96
  5. Step 5: Solve for x
    x = 2,358,793,014.96/54,969
  6. Step 6: Final answer
    x = 42,911.33

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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.