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Finding the Fourth Proportional to 43,680, 60,278.40 and 23,809.28

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Solution

The fourth proportional to 43,680, 60,278.40 and 23,809.28 is: 32,856.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,680 : 60,278.40 = 23,809.28 : x
  2. Step 2: Convert to fraction form
    43,680/60,278.40 = 23,809.28/x
  3. Step 3: Cross multiply
    43,680x = 60,278.40 × 23,809.28
  4. Step 4: Simplify right side
    43,680x = 1,435,185,303.55
  5. Step 5: Solve for x
    x = 1,435,185,303.55/43,680
  6. Step 6: Final answer
    x = 32,856.81

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Why These Related Problems?

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