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Finding the Fourth Proportional to 70,324, 105,486 and 21,076

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Solution

The fourth proportional to 70,324, 105,486 and 21,076 is: 31,614

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,324 : 105,486 = 21,076 : x
  2. Step 2: Convert to fraction form
    70,324/105,486 = 21,076/x
  3. Step 3: Cross multiply
    70,324x = 105,486 × 21,076
  4. Step 4: Simplify right side
    70,324x = 2,223,222,936
  5. Step 5: Solve for x
    x = 2,223,222,936/70,324
  6. Step 6: Final answer
    x = 31,614

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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.