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Finding the Fourth Proportional to 209,502.30, 289,112.63 and 114,008.97

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Solution

The fourth proportional to 209,502.30, 289,112.63 and 114,008.97 is: 157,332.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,502.30 : 289,112.63 = 114,008.97 : x
  2. Step 2: Convert to fraction form
    209,502.30/289,112.63 = 114,008.97/x
  3. Step 3: Cross multiply
    209,502.30x = 289,112.63 × 114,008.97
  4. Step 4: Simplify right side
    209,502.30x = 32,961,433,160.29
  5. Step 5: Solve for x
    x = 32,961,433,160.29/209,502.30
  6. Step 6: Final answer
    x = 157,332.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.