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Finding the Fourth Proportional to 70,938.67, 106,409.06 and 21,023.83

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Solution

The fourth proportional to 70,938.67, 106,409.06 and 21,023.83 is: 31,536.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,938.67 : 106,409.06 = 21,023.83 : x
  2. Step 2: Convert to fraction form
    70,938.67/106,409.06 = 21,023.83/x
  3. Step 3: Cross multiply
    70,938.67x = 106,409.06 × 21,023.83
  4. Step 4: Simplify right side
    70,938.67x = 2,237,125,987.90
  5. Step 5: Solve for x
    x = 2,237,125,987.90/70,938.67
  6. Step 6: Final answer
    x = 31,536.06

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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.