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Finding the Fourth Proportional to 102,907.68, 154,367.60 and 39,728.22

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Solution

The fourth proportional to 102,907.68, 154,367.60 and 39,728.22 is: 59,594.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,907.68 : 154,367.60 = 39,728.22 : x
  2. Step 2: Convert to fraction form
    102,907.68/154,367.60 = 39,728.22/x
  3. Step 3: Cross multiply
    102,907.68x = 154,367.60 × 39,728.22
  4. Step 4: Simplify right side
    102,907.68x = 6,132,749,775.03
  5. Step 5: Solve for x
    x = 6,132,749,775.03/102,907.68
  6. Step 6: Final answer
    x = 59,594.68

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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.