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Finding the Fourth Proportional to 66,206.32, 99,309.52 and 19,492

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Solution

The fourth proportional to 66,206.32, 99,309.52 and 19,492 is: 29,238.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,206.32 : 99,309.52 = 19,492 : x
  2. Step 2: Convert to fraction form
    66,206.32/99,309.52 = 19,492/x
  3. Step 3: Cross multiply
    66,206.32x = 99,309.52 × 19,492
  4. Step 4: Simplify right side
    66,206.32x = 1,935,741,163.84
  5. Step 5: Solve for x
    x = 1,935,741,163.84/66,206.32
  6. Step 6: Final answer
    x = 29,238.01

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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.