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Finding the Fourth Proportional to 65,734, 90,712.92 and 42,222.96

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Solution

The fourth proportional to 65,734, 90,712.92 and 42,222.96 is: 58,267.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,734 : 90,712.92 = 42,222.96 : x
  2. Step 2: Convert to fraction form
    65,734/90,712.92 = 42,222.96/x
  3. Step 3: Cross multiply
    65,734x = 90,712.92 × 42,222.96
  4. Step 4: Simplify right side
    65,734x = 3,830,167,992.64
  5. Step 5: Solve for x
    x = 3,830,167,992.64/65,734
  6. Step 6: Final answer
    x = 58,267.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.