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Finding the Fourth Proportional to 161,809.20, 242,627.40 and 68,209.20

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Solution

The fourth proportional to 161,809.20, 242,627.40 and 68,209.20 is: 102,277.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,809.20 : 242,627.40 = 68,209.20 : x
  2. Step 2: Convert to fraction form
    161,809.20/242,627.40 = 68,209.20/x
  3. Step 3: Cross multiply
    161,809.20x = 242,627.40 × 68,209.20
  4. Step 4: Simplify right side
    161,809.20x = 16,549,420,852.08
  5. Step 5: Solve for x
    x = 16,549,420,852.08/161,809.20
  6. Step 6: Final answer
    x = 102,277.38

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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.