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Finding the Fourth Proportional to 142,399.06, 213,630.99 and 75,804.10

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Solution

The fourth proportional to 142,399.06, 213,630.99 and 75,804.10 is: 113,723.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,399.06 : 213,630.99 = 75,804.10 : x
  2. Step 2: Convert to fraction form
    142,399.06/213,630.99 = 75,804.10/x
  3. Step 3: Cross multiply
    142,399.06x = 213,630.99 × 75,804.10
  4. Step 4: Simplify right side
    142,399.06x = 16,194,104,929.06
  5. Step 5: Solve for x
    x = 16,194,104,929.06/142,399.06
  6. Step 6: Final answer
    x = 113,723.40

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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.