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Finding the Fourth Proportional to 230,019.96, 317,461.47 and 138,145.44

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Solution

The fourth proportional to 230,019.96, 317,461.47 and 138,145.44 is: 190,661.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,019.96 : 317,461.47 = 138,145.44 : x
  2. Step 2: Convert to fraction form
    230,019.96/317,461.47 = 138,145.44/x
  3. Step 3: Cross multiply
    230,019.96x = 317,461.47 × 138,145.44
  4. Step 4: Simplify right side
    230,019.96x = 43,855,854,456.20
  5. Step 5: Solve for x
    x = 43,855,854,456.20/230,019.96
  6. Step 6: Final answer
    x = 190,661.08

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1.5x scale

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.