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Finding the Fourth Proportional to 47,100, 70,650.16 and 14,268

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Solution

The fourth proportional to 47,100, 70,650.16 and 14,268 is: 21,402.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,100 : 70,650.16 = 14,268 : x
  2. Step 2: Convert to fraction form
    47,100/70,650.16 = 14,268/x
  3. Step 3: Cross multiply
    47,100x = 70,650.16 × 14,268
  4. Step 4: Simplify right side
    47,100x = 1,008,036,482.88
  5. Step 5: Solve for x
    x = 1,008,036,482.88/47,100
  6. Step 6: Final answer
    x = 21,402.05

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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.