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Finding the Fourth Proportional to 139,893.06, 209,897.22 and 102,643.04

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Solution

The fourth proportional to 139,893.06, 209,897.22 and 102,643.04 is: 154,006.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,893.06 : 209,897.22 = 102,643.04 : x
  2. Step 2: Convert to fraction form
    139,893.06/209,897.22 = 102,643.04/x
  3. Step 3: Cross multiply
    139,893.06x = 209,897.22 × 102,643.04
  4. Step 4: Simplify right side
    139,893.06x = 21,544,488,748.35
  5. Step 5: Solve for x
    x = 21,544,488,748.35/139,893.06
  6. Step 6: Final answer
    x = 154,006.84

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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.