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Finding the Fourth Proportional to 66,200, 99,300 and 19,451.84

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Solution

The fourth proportional to 66,200, 99,300 and 19,451.84 is: 29,177.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,200 : 99,300 = 19,451.84 : x
  2. Step 2: Convert to fraction form
    66,200/99,300 = 19,451.84/x
  3. Step 3: Cross multiply
    66,200x = 99,300 × 19,451.84
  4. Step 4: Simplify right side
    66,200x = 1,931,567,712
  5. Step 5: Solve for x
    x = 1,931,567,712/66,200
  6. Step 6: Final answer
    x = 29,177.76

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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.