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Finding the Fourth Proportional to 149,955.24, 206,960.94 and 86,288.76

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Solution

The fourth proportional to 149,955.24, 206,960.94 and 86,288.76 is: 119,091.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,955.24 : 206,960.94 = 86,288.76 : x
  2. Step 2: Convert to fraction form
    149,955.24/206,960.94 = 86,288.76/x
  3. Step 3: Cross multiply
    149,955.24x = 206,960.94 × 86,288.76
  4. Step 4: Simplify right side
    149,955.24x = 17,858,402,881.03
  5. Step 5: Solve for x
    x = 17,858,402,881.03/149,955.24
  6. Step 6: Final answer
    x = 119,091.56

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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.