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Finding the Fourth Proportional to 57,144.84, 85,698.30 and 19,704

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Solution

The fourth proportional to 57,144.84, 85,698.30 and 19,704 is: 29,549.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,144.84 : 85,698.30 = 19,704 : x
  2. Step 2: Convert to fraction form
    57,144.84/85,698.30 = 19,704/x
  3. Step 3: Cross multiply
    57,144.84x = 85,698.30 × 19,704
  4. Step 4: Simplify right side
    57,144.84x = 1,688,599,303.20
  5. Step 5: Solve for x
    x = 1,688,599,303.20/57,144.84
  6. Step 6: Final answer
    x = 29,549.46

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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.