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Finding the Fourth Proportional to 128,635.80, 177,526.80 and 77,661.06

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Solution

The fourth proportional to 128,635.80, 177,526.80 and 77,661.06 is: 107,177.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,635.80 : 177,526.80 = 77,661.06 : x
  2. Step 2: Convert to fraction form
    128,635.80/177,526.80 = 77,661.06/x
  3. Step 3: Cross multiply
    128,635.80x = 177,526.80 × 77,661.06
  4. Step 4: Simplify right side
    128,635.80x = 13,786,919,466.41
  5. Step 5: Solve for x
    x = 13,786,919,466.41/128,635.80
  6. Step 6: Final answer
    x = 107,177.94

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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.