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Finding the Fourth Proportional to 172,172.75, 257,922.81 and 97,065.72

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Solution

The fourth proportional to 172,172.75, 257,922.81 and 97,065.72 is: 145,408.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,172.75 : 257,922.81 = 97,065.72 : x
  2. Step 2: Convert to fraction form
    172,172.75/257,922.81 = 97,065.72/x
  3. Step 3: Cross multiply
    172,172.75x = 257,922.81 × 97,065.72
  4. Step 4: Simplify right side
    172,172.75x = 25,035,463,257.07
  5. Step 5: Solve for x
    x = 25,035,463,257.07/172,172.75
  6. Step 6: Final answer
    x = 145,408.98

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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.