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Finding the Fourth Proportional to 101,509.89, 139,990.58 and 87,164.84

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Solution

The fourth proportional to 101,509.89, 139,990.58 and 87,164.84 is: 120,207.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,509.89 : 139,990.58 = 87,164.84 : x
  2. Step 2: Convert to fraction form
    101,509.89/139,990.58 = 87,164.84/x
  3. Step 3: Cross multiply
    101,509.89x = 139,990.58 × 87,164.84
  4. Step 4: Simplify right side
    101,509.89x = 12,202,256,748.23
  5. Step 5: Solve for x
    x = 12,202,256,748.23/101,509.89
  6. Step 6: Final answer
    x = 120,207.56

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Why These Related Problems?

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