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Finding the Fourth Proportional to 66,643.14, 99,980.52 and 19,897.23

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Solution

The fourth proportional to 66,643.14, 99,980.52 and 19,897.23 is: 29,850.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,643.14 : 99,980.52 = 19,897.23 : x
  2. Step 2: Convert to fraction form
    66,643.14/99,980.52 = 19,897.23/x
  3. Step 3: Cross multiply
    66,643.14x = 99,980.52 × 19,897.23
  4. Step 4: Simplify right side
    66,643.14x = 1,989,335,401.96
  5. Step 5: Solve for x
    x = 1,989,335,401.96/66,643.14
  6. Step 6: Final answer
    x = 29,850.57

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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.