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Finding the Fourth Proportional to 30,043, 45,064.62 and 8,155

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Solution

The fourth proportional to 30,043, 45,064.62 and 8,155 is: 12,232.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,043 : 45,064.62 = 8,155 : x
  2. Step 2: Convert to fraction form
    30,043/45,064.62 = 8,155/x
  3. Step 3: Cross multiply
    30,043x = 45,064.62 × 8,155
  4. Step 4: Simplify right side
    30,043x = 367,501,976.10
  5. Step 5: Solve for x
    x = 367,501,976.10/30,043
  6. Step 6: Final answer
    x = 12,232.53

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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.