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Finding the Fourth Proportional to 230,968, 318,736.80 and 124,984

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Solution

The fourth proportional to 230,968, 318,736.80 and 124,984 is: 172,478.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,968 : 318,736.80 = 124,984 : x
  2. Step 2: Convert to fraction form
    230,968/318,736.80 = 124,984/x
  3. Step 3: Cross multiply
    230,968x = 318,736.80 × 124,984
  4. Step 4: Simplify right side
    230,968x = 39,837,000,211.20
  5. Step 5: Solve for x
    x = 39,837,000,211.20/230,968
  6. Step 6: Final answer
    x = 172,478.44

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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.