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Finding the Fourth Proportional to 212,350.98, 318,411.18 and 105,500.64

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Solution

The fourth proportional to 212,350.98, 318,411.18 and 105,500.64 is: 158,193.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,350.98 : 318,411.18 = 105,500.64 : x
  2. Step 2: Convert to fraction form
    212,350.98/318,411.18 = 105,500.64/x
  3. Step 3: Cross multiply
    212,350.98x = 318,411.18 × 105,500.64
  4. Step 4: Simplify right side
    212,350.98x = 33,592,583,273.16
  5. Step 5: Solve for x
    x = 33,592,583,273.16/212,350.98
  6. Step 6: Final answer
    x = 158,193.68

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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.