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Finding the Fourth Proportional to 199,960.23, 299,879.76 and 105,139.32

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Solution

The fourth proportional to 199,960.23, 299,879.76 and 105,139.32 is: 157,677.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,960.23 : 299,879.76 = 105,139.32 : x
  2. Step 2: Convert to fraction form
    199,960.23/299,879.76 = 105,139.32/x
  3. Step 3: Cross multiply
    199,960.23x = 299,879.76 × 105,139.32
  4. Step 4: Simplify right side
    199,960.23x = 31,529,154,048.16
  5. Step 5: Solve for x
    x = 31,529,154,048.16/199,960.23
  6. Step 6: Final answer
    x = 157,677.12

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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.