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Finding the Fourth Proportional to 260,335.79, 390,057.91 and 142,090.10

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Solution

The fourth proportional to 260,335.79, 390,057.91 and 142,090.10 is: 212,891.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,335.79 : 390,057.91 = 142,090.10 : x
  2. Step 2: Convert to fraction form
    260,335.79/390,057.91 = 142,090.10/x
  3. Step 3: Cross multiply
    260,335.79x = 390,057.91 × 142,090.10
  4. Step 4: Simplify right side
    260,335.79x = 55,423,367,437.69
  5. Step 5: Solve for x
    x = 55,423,367,437.69/260,335.79
  6. Step 6: Final answer
    x = 212,891.85

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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.