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Finding the Fourth Proportional to 104,856, 157,309.92 and 30,984

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Solution

The fourth proportional to 104,856, 157,309.92 and 30,984 is: 46,483.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,856 : 157,309.92 = 30,984 : x
  2. Step 2: Convert to fraction form
    104,856/157,309.92 = 30,984/x
  3. Step 3: Cross multiply
    104,856x = 157,309.92 × 30,984
  4. Step 4: Simplify right side
    104,856x = 4,874,090,561.28
  5. Step 5: Solve for x
    x = 4,874,090,561.28/104,856
  6. Step 6: Final answer
    x = 46,483.66

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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.