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Finding the Fourth Proportional to 47,222.10, 70,783.20 and 15,624

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Solution

The fourth proportional to 47,222.10, 70,783.20 and 15,624 is: 23,419.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,222.10 : 70,783.20 = 15,624 : x
  2. Step 2: Convert to fraction form
    47,222.10/70,783.20 = 15,624/x
  3. Step 3: Cross multiply
    47,222.10x = 70,783.20 × 15,624
  4. Step 4: Simplify right side
    47,222.10x = 1,105,916,716.80
  5. Step 5: Solve for x
    x = 1,105,916,716.80/47,222.10
  6. Step 6: Final answer
    x = 23,419.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.