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Finding the Fourth Proportional to 56,408.68, 84,615.18 and 16,971.40

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Solution

The fourth proportional to 56,408.68, 84,615.18 and 16,971.40 is: 25,457.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,408.68 : 84,615.18 = 16,971.40 : x
  2. Step 2: Convert to fraction form
    56,408.68/84,615.18 = 16,971.40/x
  3. Step 3: Cross multiply
    56,408.68x = 84,615.18 × 16,971.40
  4. Step 4: Simplify right side
    56,408.68x = 1,436,038,065.85
  5. Step 5: Solve for x
    x = 1,436,038,065.85/56,408.68
  6. Step 6: Final answer
    x = 25,457.75

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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.