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Finding the Fourth Proportional to 142,509.96, 213,764.74 and 57,159.32

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Solution

The fourth proportional to 142,509.96, 213,764.74 and 57,159.32 is: 85,738.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,509.96 : 213,764.74 = 57,159.32 : x
  2. Step 2: Convert to fraction form
    142,509.96/213,764.74 = 57,159.32/x
  3. Step 3: Cross multiply
    142,509.96x = 213,764.74 × 57,159.32
  4. Step 4: Simplify right side
    142,509.96x = 12,218,647,178.38
  5. Step 5: Solve for x
    x = 12,218,647,178.38/142,509.96
  6. Step 6: Final answer
    x = 85,738.90

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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.