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Finding the Fourth Proportional to 57,402, 86,116.80 and 19,956.60

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Solution

The fourth proportional to 57,402, 86,116.80 and 19,956.60 is: 29,939.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,402 : 86,116.80 = 19,956.60 : x
  2. Step 2: Convert to fraction form
    57,402/86,116.80 = 19,956.60/x
  3. Step 3: Cross multiply
    57,402x = 86,116.80 × 19,956.60
  4. Step 4: Simplify right side
    57,402x = 1,718,598,530.88
  5. Step 5: Solve for x
    x = 1,718,598,530.88/57,402
  6. Step 6: Final answer
    x = 29,939.70

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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.