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Finding the Fourth Proportional to 138,801.80, 208,340.94 and 76,501.64

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Solution

The fourth proportional to 138,801.80, 208,340.94 and 76,501.64 is: 114,828.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,801.80 : 208,340.94 = 76,501.64 : x
  2. Step 2: Convert to fraction form
    138,801.80/208,340.94 = 76,501.64/x
  3. Step 3: Cross multiply
    138,801.80x = 208,340.94 × 76,501.64
  4. Step 4: Simplify right side
    138,801.80x = 15,938,423,589.14
  5. Step 5: Solve for x
    x = 15,938,423,589.14/138,801.80
  6. Step 6: Final answer
    x = 114,828.65

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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.