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Finding the Fourth Proportional to 212,421.20, 318,631.80 and 64,677.20

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Solution

The fourth proportional to 212,421.20, 318,631.80 and 64,677.20 is: 97,015.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,421.20 : 318,631.80 = 64,677.20 : x
  2. Step 2: Convert to fraction form
    212,421.20/318,631.80 = 64,677.20/x
  3. Step 3: Cross multiply
    212,421.20x = 318,631.80 × 64,677.20
  4. Step 4: Simplify right side
    212,421.20x = 20,608,212,654.96
  5. Step 5: Solve for x
    x = 20,608,212,654.96/212,421.20
  6. Step 6: Final answer
    x = 97,015.80

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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.