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Finding the Fourth Proportional to 172,902.12, 238,611.60 and 97,449

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Solution

The fourth proportional to 172,902.12, 238,611.60 and 97,449 is: 134,483.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,902.12 : 238,611.60 = 97,449 : x
  2. Step 2: Convert to fraction form
    172,902.12/238,611.60 = 97,449/x
  3. Step 3: Cross multiply
    172,902.12x = 238,611.60 × 97,449
  4. Step 4: Simplify right side
    172,902.12x = 23,252,461,808.40
  5. Step 5: Solve for x
    x = 23,252,461,808.40/172,902.12
  6. Step 6: Final answer
    x = 134,483.38

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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.