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Finding the Fourth Proportional to 101,466.32, 140,018.57 and 56,143.48

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Solution

The fourth proportional to 101,466.32, 140,018.57 and 56,143.48 is: 77,475.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,466.32 : 140,018.57 = 56,143.48 : x
  2. Step 2: Convert to fraction form
    101,466.32/140,018.57 = 56,143.48/x
  3. Step 3: Cross multiply
    101,466.32x = 140,018.57 × 56,143.48
  4. Step 4: Simplify right side
    101,466.32x = 7,861,129,942.54
  5. Step 5: Solve for x
    x = 7,861,129,942.54/101,466.32
  6. Step 6: Final answer
    x = 77,475.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.