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Finding the Fourth Proportional to 66,448, 99,677.76 and 17,200

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Solution

The fourth proportional to 66,448, 99,677.76 and 17,200 is: 25,801.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,448 : 99,677.76 = 17,200 : x
  2. Step 2: Convert to fraction form
    66,448/99,677.76 = 17,200/x
  3. Step 3: Cross multiply
    66,448x = 99,677.76 × 17,200
  4. Step 4: Simplify right side
    66,448x = 1,714,457,472
  5. Step 5: Solve for x
    x = 1,714,457,472/66,448
  6. Step 6: Final answer
    x = 25,801.49

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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.