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Finding the Fourth Proportional to 46,269, 69,398.34 and 12,990.36

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Solution

The fourth proportional to 46,269, 69,398.34 and 12,990.36 is: 19,484.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,269 : 69,398.34 = 12,990.36 : x
  2. Step 2: Convert to fraction form
    46,269/69,398.34 = 12,990.36/x
  3. Step 3: Cross multiply
    46,269x = 69,398.34 × 12,990.36
  4. Step 4: Simplify right side
    46,269x = 901,509,420.00
  5. Step 5: Solve for x
    x = 901,509,420.00/46,269
  6. Step 6: Final answer
    x = 19,484.09

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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.