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Finding the Fourth Proportional to 230,760, 318,448.80 and 124,776

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Solution

The fourth proportional to 230,760, 318,448.80 and 124,776 is: 172,190.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,760 : 318,448.80 = 124,776 : x
  2. Step 2: Convert to fraction form
    230,760/318,448.80 = 124,776/x
  3. Step 3: Cross multiply
    230,760x = 318,448.80 × 124,776
  4. Step 4: Simplify right side
    230,760x = 39,734,767,468.80
  5. Step 5: Solve for x
    x = 39,734,767,468.80/230,760
  6. Step 6: Final answer
    x = 172,190.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.