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Finding the Fourth Proportional to 128,711.48, 177,592.83 and 77,732.48

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Solution

The fourth proportional to 128,711.48, 177,592.83 and 77,732.48 is: 107,253.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,711.48 : 177,592.83 = 77,732.48 : x
  2. Step 2: Convert to fraction form
    128,711.48/177,592.83 = 77,732.48/x
  3. Step 3: Cross multiply
    128,711.48x = 177,592.83 × 77,732.48
  4. Step 4: Simplify right side
    128,711.48x = 13,804,731,106.12
  5. Step 5: Solve for x
    x = 13,804,731,106.12/128,711.48
  6. Step 6: Final answer
    x = 107,253.30

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1.5x scale

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.