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Finding the Fourth Proportional to 30,153.18, 41,613.31 and 17,408.69

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Solution

The fourth proportional to 30,153.18, 41,613.31 and 17,408.69 is: 24,025.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,153.18 : 41,613.31 = 17,408.69 : x
  2. Step 2: Convert to fraction form
    30,153.18/41,613.31 = 17,408.69/x
  3. Step 3: Cross multiply
    30,153.18x = 41,613.31 × 17,408.69
  4. Step 4: Simplify right side
    30,153.18x = 724,433,307.91
  5. Step 5: Solve for x
    x = 724,433,307.91/30,153.18
  6. Step 6: Final answer
    x = 24,025.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.