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Finding the Fourth Proportional to 260,139, 390,199.80 and 110,282.88

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Solution

The fourth proportional to 260,139, 390,199.80 and 110,282.88 is: 165,420.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,139 : 390,199.80 = 110,282.88 : x
  2. Step 2: Convert to fraction form
    260,139/390,199.80 = 110,282.88/x
  3. Step 3: Cross multiply
    260,139x = 390,199.80 × 110,282.88
  4. Step 4: Simplify right side
    260,139x = 43,032,357,719.42
  5. Step 5: Solve for x
    x = 43,032,357,719.42/260,139
  6. Step 6: Final answer
    x = 165,420.63

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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.