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Finding the Fourth Proportional to 208,914.36, 288,302.31 and 113,419.01

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Solution

The fourth proportional to 208,914.36, 288,302.31 and 113,419.01 is: 156,518.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,914.36 : 288,302.31 = 113,419.01 : x
  2. Step 2: Convert to fraction form
    208,914.36/288,302.31 = 113,419.01/x
  3. Step 3: Cross multiply
    208,914.36x = 288,302.31 × 113,419.01
  4. Step 4: Simplify right side
    208,914.36x = 32,698,960,572.31
  5. Step 5: Solve for x
    x = 32,698,960,572.31/208,914.36
  6. Step 6: Final answer
    x = 156,518.49

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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.