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Finding the Fourth Proportional to 209,005.39, 313,506.40 and 124,203.95

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Solution

The fourth proportional to 209,005.39, 313,506.40 and 124,203.95 is: 186,304.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,005.39 : 313,506.40 = 124,203.95 : x
  2. Step 2: Convert to fraction form
    209,005.39/313,506.40 = 124,203.95/x
  3. Step 3: Cross multiply
    209,005.39x = 313,506.40 × 124,203.95
  4. Step 4: Simplify right side
    209,005.39x = 38,938,733,230.28
  5. Step 5: Solve for x
    x = 38,938,733,230.28/209,005.39
  6. Step 6: Final answer
    x = 186,304.92

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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.