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Finding the Fourth Proportional to 66,464, 99,701.76 and 17,216

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Solution

The fourth proportional to 66,464, 99,701.76 and 17,216 is: 25,825.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,464 : 99,701.76 = 17,216 : x
  2. Step 2: Convert to fraction form
    66,464/99,701.76 = 17,216/x
  3. Step 3: Cross multiply
    66,464x = 99,701.76 × 17,216
  4. Step 4: Simplify right side
    66,464x = 1,716,465,500.16
  5. Step 5: Solve for x
    x = 1,716,465,500.16/66,464
  6. Step 6: Final answer
    x = 25,825.49

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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.