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Finding the Fourth Proportional to 145,297.56, 217,889.46 and 56,539.32

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Solution

The fourth proportional to 145,297.56, 217,889.46 and 56,539.32 is: 84,786.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,297.56 : 217,889.46 = 56,539.32 : x
  2. Step 2: Convert to fraction form
    145,297.56/217,889.46 = 56,539.32/x
  3. Step 3: Cross multiply
    145,297.56x = 217,889.46 × 56,539.32
  4. Step 4: Simplify right side
    145,297.56x = 12,319,321,903.57
  5. Step 5: Solve for x
    x = 12,319,321,903.57/145,297.56
  6. Step 6: Final answer
    x = 84,786.85

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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.