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Finding the Fourth Proportional to 196,581.96, 294,870.51 and 138,640.59

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Solution

The fourth proportional to 196,581.96, 294,870.51 and 138,640.59 is: 207,959.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,581.96 : 294,870.51 = 138,640.59 : x
  2. Step 2: Convert to fraction form
    196,581.96/294,870.51 = 138,640.59/x
  3. Step 3: Cross multiply
    196,581.96x = 294,870.51 × 138,640.59
  4. Step 4: Simplify right side
    196,581.96x = 40,881,021,480.00
  5. Step 5: Solve for x
    x = 40,881,021,480.00/196,581.96
  6. Step 6: Final answer
    x = 207,959.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.