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Finding the Fourth Proportional to 209,502.42, 289,112.80 and 114,009.09

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Solution

The fourth proportional to 209,502.42, 289,112.80 and 114,009.09 is: 157,332.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,502.42 : 289,112.80 = 114,009.09 : x
  2. Step 2: Convert to fraction form
    209,502.42/289,112.80 = 114,009.09/x
  3. Step 3: Cross multiply
    209,502.42x = 289,112.80 × 114,009.09
  4. Step 4: Simplify right side
    209,502.42x = 32,961,487,235.35
  5. Step 5: Solve for x
    x = 32,961,487,235.35/209,502.42
  6. Step 6: Final answer
    x = 157,332.25

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1.5x scale

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.