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Finding the Fourth Proportional to 140,652.86, 210,971.86 and 39,457.91

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Solution

The fourth proportional to 140,652.86, 210,971.86 and 39,457.91 is: 59,184.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,652.86 : 210,971.86 = 39,457.91 : x
  2. Step 2: Convert to fraction form
    140,652.86/210,971.86 = 39,457.91/x
  3. Step 3: Cross multiply
    140,652.86x = 210,971.86 × 39,457.91
  4. Step 4: Simplify right side
    140,652.86x = 8,324,509,093.20
  5. Step 5: Solve for x
    x = 8,324,509,093.20/140,652.86
  6. Step 6: Final answer
    x = 59,184.79

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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.