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Finding the Fourth Proportional to 101,313.32, 152,000.70 and 71,788.36

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Solution

The fourth proportional to 101,313.32, 152,000.70 and 71,788.36 is: 107,704.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,313.32 : 152,000.70 = 71,788.36 : x
  2. Step 2: Convert to fraction form
    101,313.32/152,000.70 = 71,788.36/x
  3. Step 3: Cross multiply
    101,313.32x = 152,000.70 × 71,788.36
  4. Step 4: Simplify right side
    101,313.32x = 10,911,880,971.85
  5. Step 5: Solve for x
    x = 10,911,880,971.85/101,313.32
  6. Step 6: Final answer
    x = 107,704.31

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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.