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Finding the Fourth Proportional to 47,052, 70,578 and 14,220

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Solution

The fourth proportional to 47,052, 70,578 and 14,220 is: 21,330

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,052 : 70,578 = 14,220 : x
  2. Step 2: Convert to fraction form
    47,052/70,578 = 14,220/x
  3. Step 3: Cross multiply
    47,052x = 70,578 × 14,220
  4. Step 4: Simplify right side
    47,052x = 1,003,619,160
  5. Step 5: Solve for x
    x = 1,003,619,160/47,052
  6. Step 6: Final answer
    x = 21,330

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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.