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Finding the Fourth Proportional to 84,389.76, 116,380.80 and 72,449.28

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Solution

The fourth proportional to 84,389.76, 116,380.80 and 72,449.28 is: 99,913.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,389.76 : 116,380.80 = 72,449.28 : x
  2. Step 2: Convert to fraction form
    84,389.76/116,380.80 = 72,449.28/x
  3. Step 3: Cross multiply
    84,389.76x = 116,380.80 × 72,449.28
  4. Step 4: Simplify right side
    84,389.76x = 8,431,705,165.82
  5. Step 5: Solve for x
    x = 8,431,705,165.82/84,389.76
  6. Step 6: Final answer
    x = 99,913.84

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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.