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Finding the Fourth Proportional to 101,990.85, 140,746.91 and 56,676.21

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Solution

The fourth proportional to 101,990.85, 140,746.91 and 56,676.21 is: 78,212.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,990.85 : 140,746.91 = 56,676.21 : x
  2. Step 2: Convert to fraction form
    101,990.85/140,746.91 = 56,676.21/x
  3. Step 3: Cross multiply
    101,990.85x = 140,746.91 × 56,676.21
  4. Step 4: Simplify right side
    101,990.85x = 7,977,001,428.01
  5. Step 5: Solve for x
    x = 7,977,001,428.01/101,990.85
  6. Step 6: Final answer
    x = 78,212.91

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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.