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Finding the Fourth Proportional to 101,991.36, 152,987.02 and 31,870.67

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Solution

The fourth proportional to 101,991.36, 152,987.02 and 31,870.67 is: 47,806.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,991.36 : 152,987.02 = 31,870.67 : x
  2. Step 2: Convert to fraction form
    101,991.36/152,987.02 = 31,870.67/x
  3. Step 3: Cross multiply
    101,991.36x = 152,987.02 × 31,870.67
  4. Step 4: Simplify right side
    101,991.36x = 4,875,799,131.49
  5. Step 5: Solve for x
    x = 4,875,799,131.49/101,991.36
  6. Step 6: Final answer
    x = 47,806.00

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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.