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Finding the Fourth Proportional to 43,416.61, 65,129.64 and 13,827.54

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Solution

The fourth proportional to 43,416.61, 65,129.64 and 13,827.54 is: 20,742.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,416.61 : 65,129.64 = 13,827.54 : x
  2. Step 2: Convert to fraction form
    43,416.61/65,129.64 = 13,827.54/x
  3. Step 3: Cross multiply
    43,416.61x = 65,129.64 × 13,827.54
  4. Step 4: Simplify right side
    43,416.61x = 900,582,894.67
  5. Step 5: Solve for x
    x = 900,582,894.67/43,416.61
  6. Step 6: Final answer
    x = 20,742.82

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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.