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Finding the Fourth Proportional to 143,638.34, 215,457.06 and 38,457.32

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Solution

The fourth proportional to 143,638.34, 215,457.06 and 38,457.32 is: 57,685.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,638.34 : 215,457.06 = 38,457.32 : x
  2. Step 2: Convert to fraction form
    143,638.34/215,457.06 = 38,457.32/x
  3. Step 3: Cross multiply
    143,638.34x = 215,457.06 × 38,457.32
  4. Step 4: Simplify right side
    143,638.34x = 8,285,901,102.68
  5. Step 5: Solve for x
    x = 8,285,901,102.68/143,638.34
  6. Step 6: Final answer
    x = 57,685.86

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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.