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Finding the Fourth Proportional to 230,696, 318,360.48 and 124,712

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Solution

The fourth proportional to 230,696, 318,360.48 and 124,712 is: 172,102.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,696 : 318,360.48 = 124,712 : x
  2. Step 2: Convert to fraction form
    230,696/318,360.48 = 124,712/x
  3. Step 3: Cross multiply
    230,696x = 318,360.48 × 124,712
  4. Step 4: Simplify right side
    230,696x = 39,703,372,181.76
  5. Step 5: Solve for x
    x = 39,703,372,181.76/230,696
  6. Step 6: Final answer
    x = 172,102.56

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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.