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Finding the Fourth Proportional to 162,109.40, 243,018.30 and 102,914.60

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Solution

The fourth proportional to 162,109.40, 243,018.30 and 102,914.60 is: 154,279.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,109.40 : 243,018.30 = 102,914.60 : x
  2. Step 2: Convert to fraction form
    162,109.40/243,018.30 = 102,914.60/x
  3. Step 3: Cross multiply
    162,109.40x = 243,018.30 × 102,914.60
  4. Step 4: Simplify right side
    162,109.40x = 25,010,131,137.18
  5. Step 5: Solve for x
    x = 25,010,131,137.18/162,109.40
  6. Step 6: Final answer
    x = 154,279.34

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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.