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Finding the Fourth Proportional to 260,334.68, 390,056.20 and 142,089

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Solution

The fourth proportional to 260,334.68, 390,056.20 and 142,089 is: 212,890.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,334.68 : 390,056.20 = 142,089 : x
  2. Step 2: Convert to fraction form
    260,334.68/390,056.20 = 142,089/x
  3. Step 3: Cross multiply
    260,334.68x = 390,056.20 × 142,089
  4. Step 4: Simplify right side
    260,334.68x = 55,422,695,401.80
  5. Step 5: Solve for x
    x = 55,422,695,401.80/260,334.68
  6. Step 6: Final answer
    x = 212,890.17

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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.