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Finding the Fourth Proportional to 99,971.70, 149,900.85 and 40,738.02

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Solution

The fourth proportional to 99,971.70, 149,900.85 and 40,738.02 is: 61,083.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,971.70 : 149,900.85 = 40,738.02 : x
  2. Step 2: Convert to fraction form
    99,971.70/149,900.85 = 40,738.02/x
  3. Step 3: Cross multiply
    99,971.70x = 149,900.85 × 40,738.02
  4. Step 4: Simplify right side
    99,971.70x = 6,106,663,825.32
  5. Step 5: Solve for x
    x = 6,106,663,825.32/99,971.70
  6. Step 6: Final answer
    x = 61,083.93

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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.