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Finding the Fourth Proportional to 162,180.90, 242,688.15 and 109,692.90

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Solution

The fourth proportional to 162,180.90, 242,688.15 and 109,692.90 is: 164,144.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,180.90 : 242,688.15 = 109,692.90 : x
  2. Step 2: Convert to fraction form
    162,180.90/242,688.15 = 109,692.90/x
  3. Step 3: Cross multiply
    162,180.90x = 242,688.15 × 109,692.90
  4. Step 4: Simplify right side
    162,180.90x = 26,621,166,969.14
  5. Step 5: Solve for x
    x = 26,621,166,969.14/162,180.90
  6. Step 6: Final answer
    x = 164,144.90

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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.