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Finding the Fourth Proportional to 70,024, 105,036 and 20,776

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Solution

The fourth proportional to 70,024, 105,036 and 20,776 is: 31,164

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,024 : 105,036 = 20,776 : x
  2. Step 2: Convert to fraction form
    70,024/105,036 = 20,776/x
  3. Step 3: Cross multiply
    70,024x = 105,036 × 20,776
  4. Step 4: Simplify right side
    70,024x = 2,182,227,936
  5. Step 5: Solve for x
    x = 2,182,227,936/70,024
  6. Step 6: Final answer
    x = 31,164

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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.