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Finding the Fourth Proportional to 207,903.76, 286,980.96 and 123,020.64

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Solution

The fourth proportional to 207,903.76, 286,980.96 and 123,020.64 is: 169,812.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,903.76 : 286,980.96 = 123,020.64 : x
  2. Step 2: Convert to fraction form
    207,903.76/286,980.96 = 123,020.64/x
  3. Step 3: Cross multiply
    207,903.76x = 286,980.96 × 123,020.64
  4. Step 4: Simplify right side
    207,903.76x = 35,304,581,367.01
  5. Step 5: Solve for x
    x = 35,304,581,367.01/207,903.76
  6. Step 6: Final answer
    x = 169,812.14

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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.