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Finding the Fourth Proportional to 230,508, 318,103.47 and 129,906

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Solution

The fourth proportional to 230,508, 318,103.47 and 129,906 is: 179,271.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,508 : 318,103.47 = 129,906 : x
  2. Step 2: Convert to fraction form
    230,508/318,103.47 = 129,906/x
  3. Step 3: Cross multiply
    230,508x = 318,103.47 × 129,906
  4. Step 4: Simplify right side
    230,508x = 41,323,549,373.82
  5. Step 5: Solve for x
    x = 41,323,549,373.82/230,508
  6. Step 6: Final answer
    x = 179,271.65

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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.