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Finding the Fourth Proportional to 199,443.47, 299,276.98 and 105,946.79

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Solution

The fourth proportional to 199,443.47, 299,276.98 and 105,946.79 is: 158,979.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,443.47 : 299,276.98 = 105,946.79 : x
  2. Step 2: Convert to fraction form
    199,443.47/299,276.98 = 105,946.79/x
  3. Step 3: Cross multiply
    199,443.47x = 299,276.98 × 105,946.79
  4. Step 4: Simplify right side
    199,443.47x = 31,707,433,590.64
  5. Step 5: Solve for x
    x = 31,707,433,590.64/199,443.47
  6. Step 6: Final answer
    x = 158,979.56

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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.