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Finding the Fourth Proportional to 230,772, 318,465.36 and 124,788

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Solution

The fourth proportional to 230,772, 318,465.36 and 124,788 is: 172,207.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,772 : 318,465.36 = 124,788 : x
  2. Step 2: Convert to fraction form
    230,772/318,465.36 = 124,788/x
  3. Step 3: Cross multiply
    230,772x = 318,465.36 × 124,788
  4. Step 4: Simplify right side
    230,772x = 39,740,655,343.68
  5. Step 5: Solve for x
    x = 39,740,655,343.68/230,772
  6. Step 6: Final answer
    x = 172,207.44

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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.