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Finding the Fourth Proportional to 101,489.98, 152,249.54 and 31,374.76

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Solution

The fourth proportional to 101,489.98, 152,249.54 and 31,374.76 is: 47,066.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,489.98 : 152,249.54 = 31,374.76 : x
  2. Step 2: Convert to fraction form
    101,489.98/152,249.54 = 31,374.76/x
  3. Step 3: Cross multiply
    101,489.98x = 152,249.54 × 31,374.76
  4. Step 4: Simplify right side
    101,489.98x = 4,776,792,777.61
  5. Step 5: Solve for x
    x = 4,776,792,777.61/101,489.98
  6. Step 6: Final answer
    x = 47,066.64

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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.