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Finding the Fourth Proportional to 106,503, 159,740.62 and 31,621.64

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Solution

The fourth proportional to 106,503, 159,740.62 and 31,621.64 is: 47,428.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,503 : 159,740.62 = 31,621.64 : x
  2. Step 2: Convert to fraction form
    106,503/159,740.62 = 31,621.64/x
  3. Step 3: Cross multiply
    106,503x = 159,740.62 × 31,621.64
  4. Step 4: Simplify right side
    106,503x = 5,051,260,379.02
  5. Step 5: Solve for x
    x = 5,051,260,379.02/106,503
  6. Step 6: Final answer
    x = 47,428.34

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1.5x scale

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.