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Finding the Fourth Proportional to 230,768, 318,459.84 and 124,784

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Solution

The fourth proportional to 230,768, 318,459.84 and 124,784 is: 172,201.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,768 : 318,459.84 = 124,784 : x
  2. Step 2: Convert to fraction form
    230,768/318,459.84 = 124,784/x
  3. Step 3: Cross multiply
    230,768x = 318,459.84 × 124,784
  4. Step 4: Simplify right side
    230,768x = 39,738,692,674.56
  5. Step 5: Solve for x
    x = 39,738,692,674.56/230,768
  6. Step 6: Final answer
    x = 172,201.92

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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.