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Finding the Fourth Proportional to 30,203.88, 45,319.32 and 15,405

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Solution

The fourth proportional to 30,203.88, 45,319.32 and 15,405 is: 23,114.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,203.88 : 45,319.32 = 15,405 : x
  2. Step 2: Convert to fraction form
    30,203.88/45,319.32 = 15,405/x
  3. Step 3: Cross multiply
    30,203.88x = 45,319.32 × 15,405
  4. Step 4: Simplify right side
    30,203.88x = 698,144,124.60
  5. Step 5: Solve for x
    x = 698,144,124.60/30,203.88
  6. Step 6: Final answer
    x = 23,114.39

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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.