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Finding the Fourth Proportional to 207,509.80, 286,391.34 and 121,495

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Solution

The fourth proportional to 207,509.80, 286,391.34 and 121,495 is: 167,679.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,509.80 : 286,391.34 = 121,495 : x
  2. Step 2: Convert to fraction form
    207,509.80/286,391.34 = 121,495/x
  3. Step 3: Cross multiply
    207,509.80x = 286,391.34 × 121,495
  4. Step 4: Simplify right side
    207,509.80x = 34,795,115,853.30
  5. Step 5: Solve for x
    x = 34,795,115,853.30/207,509.80
  6. Step 6: Final answer
    x = 167,679.39

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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.