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Finding the Fourth Proportional to 66,442.06, 99,646.08 and 19,684

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Solution

The fourth proportional to 66,442.06, 99,646.08 and 19,684 is: 29,520.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,442.06 : 99,646.08 = 19,684 : x
  2. Step 2: Convert to fraction form
    66,442.06/99,646.08 = 19,684/x
  3. Step 3: Cross multiply
    66,442.06x = 99,646.08 × 19,684
  4. Step 4: Simplify right side
    66,442.06x = 1,961,433,438.72
  5. Step 5: Solve for x
    x = 1,961,433,438.72/66,442.06
  6. Step 6: Final answer
    x = 29,520.96

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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.