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Finding the Fourth Proportional to 199,312.79, 299,141.92 and 104,609.87

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Solution

The fourth proportional to 199,312.79, 299,141.92 and 104,609.87 is: 157,005.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,312.79 : 299,141.92 = 104,609.87 : x
  2. Step 2: Convert to fraction form
    199,312.79/299,141.92 = 104,609.87/x
  3. Step 3: Cross multiply
    199,312.79x = 299,141.92 × 104,609.87
  4. Step 4: Simplify right side
    199,312.79x = 31,293,197,362.75
  5. Step 5: Solve for x
    x = 31,293,197,362.75/199,312.79
  6. Step 6: Final answer
    x = 157,005.47

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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.