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Finding the Fourth Proportional to 101,389.60, 152,072.56 and 31,262.88

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Solution

The fourth proportional to 101,389.60, 152,072.56 and 31,262.88 is: 46,890.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,389.60 : 152,072.56 = 31,262.88 : x
  2. Step 2: Convert to fraction form
    101,389.60/152,072.56 = 31,262.88/x
  3. Step 3: Cross multiply
    101,389.60x = 152,072.56 × 31,262.88
  4. Step 4: Simplify right side
    101,389.60x = 4,754,226,194.57
  5. Step 5: Solve for x
    x = 4,754,226,194.57/101,389.60
  6. Step 6: Final answer
    x = 46,890.67

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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.