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Finding the Fourth Proportional to 128,770.84, 177,698.80 and 71,412.52

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Solution

The fourth proportional to 128,770.84, 177,698.80 and 71,412.52 is: 98,546.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,770.84 : 177,698.80 = 71,412.52 : x
  2. Step 2: Convert to fraction form
    128,770.84/177,698.80 = 71,412.52/x
  3. Step 3: Cross multiply
    128,770.84x = 177,698.80 × 71,412.52
  4. Step 4: Simplify right side
    128,770.84x = 12,689,919,108.98
  5. Step 5: Solve for x
    x = 12,689,919,108.98/128,770.84
  6. Step 6: Final answer
    x = 98,546.53

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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.