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Finding the Fourth Proportional to 212,133.60, 318,200.40 and 164,894.40

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Solution

The fourth proportional to 212,133.60, 318,200.40 and 164,894.40 is: 247,341.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,133.60 : 318,200.40 = 164,894.40 : x
  2. Step 2: Convert to fraction form
    212,133.60/318,200.40 = 164,894.40/x
  3. Step 3: Cross multiply
    212,133.60x = 318,200.40 × 164,894.40
  4. Step 4: Simplify right side
    212,133.60x = 52,469,464,037.76
  5. Step 5: Solve for x
    x = 52,469,464,037.76/212,133.60
  6. Step 6: Final answer
    x = 247,341.60

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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.