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Finding the Fourth Proportional to 68,702.16, 103,071.16 and 19,454.16

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Solution

The fourth proportional to 68,702.16, 103,071.16 and 19,454.16 is: 29,186.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,702.16 : 103,071.16 = 19,454.16 : x
  2. Step 2: Convert to fraction form
    68,702.16/103,071.16 = 19,454.16/x
  3. Step 3: Cross multiply
    68,702.16x = 103,071.16 × 19,454.16
  4. Step 4: Simplify right side
    68,702.16x = 2,005,162,838.03
  5. Step 5: Solve for x
    x = 2,005,162,838.03/68,702.16
  6. Step 6: Final answer
    x = 29,186.31

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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.