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Finding the Fourth Proportional to 45,409.64, 68,114.80 and 15,827.39

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Solution

The fourth proportional to 45,409.64, 68,114.80 and 15,827.39 is: 23,741.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,409.64 : 68,114.80 = 15,827.39 : x
  2. Step 2: Convert to fraction form
    45,409.64/68,114.80 = 15,827.39/x
  3. Step 3: Cross multiply
    45,409.64x = 68,114.80 × 15,827.39
  4. Step 4: Simplify right side
    45,409.64x = 1,078,079,298.71
  5. Step 5: Solve for x
    x = 1,078,079,298.71/45,409.64
  6. Step 6: Final answer
    x = 23,741.20

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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.