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Finding the Fourth Proportional to 97,751.98, 146,731.67 and 86,579.85

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Solution

The fourth proportional to 97,751.98, 146,731.67 and 86,579.85 is: 129,961.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,751.98 : 146,731.67 = 86,579.85 : x
  2. Step 2: Convert to fraction form
    97,751.98/146,731.67 = 86,579.85/x
  3. Step 3: Cross multiply
    97,751.98x = 146,731.67 × 86,579.85
  4. Step 4: Simplify right side
    97,751.98x = 12,704,006,420.87
  5. Step 5: Solve for x
    x = 12,704,006,420.87/97,751.98
  6. Step 6: Final answer
    x = 129,961.63

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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.