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Finding the Fourth Proportional to 209,448.33, 289,039.91 and 113,955.68

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Solution

The fourth proportional to 209,448.33, 289,039.91 and 113,955.68 is: 157,259.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,448.33 : 289,039.91 = 113,955.68 : x
  2. Step 2: Convert to fraction form
    209,448.33/289,039.91 = 113,955.68/x
  3. Step 3: Cross multiply
    209,448.33x = 289,039.91 × 113,955.68
  4. Step 4: Simplify right side
    209,448.33x = 32,937,737,476.21
  5. Step 5: Solve for x
    x = 32,937,737,476.21/209,448.33
  6. Step 6: Final answer
    x = 157,259.49

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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.