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Finding the Fourth Proportional to 199,345.60, 299,018.40 and 136,826.56

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Solution

The fourth proportional to 199,345.60, 299,018.40 and 136,826.56 is: 205,239.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,345.60 : 299,018.40 = 136,826.56 : x
  2. Step 2: Convert to fraction form
    199,345.60/299,018.40 = 136,826.56/x
  3. Step 3: Cross multiply
    199,345.60x = 299,018.40 × 136,826.56
  4. Step 4: Simplify right side
    199,345.60x = 40,913,659,048.70
  5. Step 5: Solve for x
    x = 40,913,659,048.70/199,345.60
  6. Step 6: Final answer
    x = 205,239.84

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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.