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Finding the Fourth Proportional to 70,904.18, 106,355.07 and 20,984

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Solution

The fourth proportional to 70,904.18, 106,355.07 and 20,984 is: 31,475.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,904.18 : 106,355.07 = 20,984 : x
  2. Step 2: Convert to fraction form
    70,904.18/106,355.07 = 20,984/x
  3. Step 3: Cross multiply
    70,904.18x = 106,355.07 × 20,984
  4. Step 4: Simplify right side
    70,904.18x = 2,231,754,788.88
  5. Step 5: Solve for x
    x = 2,231,754,788.88/70,904.18
  6. Step 6: Final answer
    x = 31,475.64

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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.