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Finding the Fourth Proportional to 128,782.03, 177,713.02 and 71,416.86

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Solution

The fourth proportional to 128,782.03, 177,713.02 and 71,416.86 is: 98,551.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,782.03 : 177,713.02 = 71,416.86 : x
  2. Step 2: Convert to fraction form
    128,782.03/177,713.02 = 71,416.86/x
  3. Step 3: Cross multiply
    128,782.03x = 177,713.02 × 71,416.86
  4. Step 4: Simplify right side
    128,782.03x = 12,691,705,869.52
  5. Step 5: Solve for x
    x = 12,691,705,869.52/128,782.03
  6. Step 6: Final answer
    x = 98,551.84

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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.