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Finding the Fourth Proportional to 70,338, 105,507 and 21,090

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Solution

The fourth proportional to 70,338, 105,507 and 21,090 is: 31,635

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,338 : 105,507 = 21,090 : x
  2. Step 2: Convert to fraction form
    70,338/105,507 = 21,090/x
  3. Step 3: Cross multiply
    70,338x = 105,507 × 21,090
  4. Step 4: Simplify right side
    70,338x = 2,225,142,630
  5. Step 5: Solve for x
    x = 2,225,142,630/70,338
  6. Step 6: Final answer
    x = 31,635

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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.