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Finding the Fourth Proportional to 53,274.96, 73,495.08 and 30,906

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Solution

The fourth proportional to 53,274.96, 73,495.08 and 30,906 is: 42,636.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,274.96 : 73,495.08 = 30,906 : x
  2. Step 2: Convert to fraction form
    53,274.96/73,495.08 = 30,906/x
  3. Step 3: Cross multiply
    53,274.96x = 73,495.08 × 30,906
  4. Step 4: Simplify right side
    53,274.96x = 2,271,438,942.48
  5. Step 5: Solve for x
    x = 2,271,438,942.48/53,274.96
  6. Step 6: Final answer
    x = 42,636.15

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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.