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Finding the Fourth Proportional to 288,069.21, 431,740.94 and 138,186.81

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Solution

The fourth proportional to 288,069.21, 431,740.94 and 138,186.81 is: 207,106.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,069.21 : 431,740.94 = 138,186.81 : x
  2. Step 2: Convert to fraction form
    288,069.21/431,740.94 = 138,186.81/x
  3. Step 3: Cross multiply
    288,069.21x = 431,740.94 × 138,186.81
  4. Step 4: Simplify right side
    288,069.21x = 59,660,902,554.07
  5. Step 5: Solve for x
    x = 59,660,902,554.07/288,069.21
  6. Step 6: Final answer
    x = 207,106.14

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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.