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Finding the Fourth Proportional to 260,013.60, 390,031.56 and 82,527.84

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Solution

The fourth proportional to 260,013.60, 390,031.56 and 82,527.84 is: 123,795.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,013.60 : 390,031.56 = 82,527.84 : x
  2. Step 2: Convert to fraction form
    260,013.60/390,031.56 = 82,527.84/x
  3. Step 3: Cross multiply
    260,013.60x = 390,031.56 × 82,527.84
  4. Step 4: Simplify right side
    260,013.60x = 32,188,462,178.63
  5. Step 5: Solve for x
    x = 32,188,462,178.63/260,013.60
  6. Step 6: Final answer
    x = 123,795.30

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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.