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Finding the Fourth Proportional to 138,211.80, 207,536.40 and 104,969.40

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Solution

The fourth proportional to 138,211.80, 207,536.40 and 104,969.40 is: 157,620.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,211.80 : 207,536.40 = 104,969.40 : x
  2. Step 2: Convert to fraction form
    138,211.80/207,536.40 = 104,969.40/x
  3. Step 3: Cross multiply
    138,211.80x = 207,536.40 × 104,969.40
  4. Step 4: Simplify right side
    138,211.80x = 21,784,971,386.16
  5. Step 5: Solve for x
    x = 21,784,971,386.16/138,211.80
  6. Step 6: Final answer
    x = 157,620.20

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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.