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Finding the Fourth Proportional to 128,814.30, 177,764.22 and 71,458.91

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Solution

The fourth proportional to 128,814.30, 177,764.22 and 71,458.91 is: 98,613.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,814.30 : 177,764.22 = 71,458.91 : x
  2. Step 2: Convert to fraction form
    128,814.30/177,764.22 = 71,458.91/x
  3. Step 3: Cross multiply
    128,814.30x = 177,764.22 × 71,458.91
  4. Step 4: Simplify right side
    128,814.30x = 12,702,837,175.99
  5. Step 5: Solve for x
    x = 12,702,837,175.99/128,814.30
  6. Step 6: Final answer
    x = 98,613.56

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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.