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Finding the Fourth Proportional to 128,857.72, 177,782.26 and 77,885.52

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Solution

The fourth proportional to 128,857.72, 177,782.26 and 77,885.52 is: 107,457.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,857.72 : 177,782.26 = 77,885.52 : x
  2. Step 2: Convert to fraction form
    128,857.72/177,782.26 = 77,885.52/x
  3. Step 3: Cross multiply
    128,857.72x = 177,782.26 × 77,885.52
  4. Step 4: Simplify right side
    128,857.72x = 13,846,663,766.88
  5. Step 5: Solve for x
    x = 13,846,663,766.88/128,857.72
  6. Step 6: Final answer
    x = 107,457.00

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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.