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Finding the Fourth Proportional to 165,416.51, 247,979.17 and 65,646.79

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Solution

The fourth proportional to 165,416.51, 247,979.17 and 65,646.79 is: 98,412.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,416.51 : 247,979.17 = 65,646.79 : x
  2. Step 2: Convert to fraction form
    165,416.51/247,979.17 = 65,646.79/x
  3. Step 3: Cross multiply
    165,416.51x = 247,979.17 × 65,646.79
  4. Step 4: Simplify right side
    165,416.51x = 16,279,035,959.47
  5. Step 5: Solve for x
    x = 16,279,035,959.47/165,416.51
  6. Step 6: Final answer
    x = 98,412.40

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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.