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Finding the Fourth Proportional to 105,816.51, 145,974.76 and 77,091.48

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Solution

The fourth proportional to 105,816.51, 145,974.76 and 77,091.48 is: 106,348.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,816.51 : 145,974.76 = 77,091.48 : x
  2. Step 2: Convert to fraction form
    105,816.51/145,974.76 = 77,091.48/x
  3. Step 3: Cross multiply
    105,816.51x = 145,974.76 × 77,091.48
  4. Step 4: Simplify right side
    105,816.51x = 11,253,410,098.32
  5. Step 5: Solve for x
    x = 11,253,410,098.32/105,816.51
  6. Step 6: Final answer
    x = 106,348.34

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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.