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Finding the Fourth Proportional to 260,335.68, 390,057.70 and 142,090

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Solution

The fourth proportional to 260,335.68, 390,057.70 and 142,090 is: 212,891.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,335.68 : 390,057.70 = 142,090 : x
  2. Step 2: Convert to fraction form
    260,335.68/390,057.70 = 142,090/x
  3. Step 3: Cross multiply
    260,335.68x = 390,057.70 × 142,090
  4. Step 4: Simplify right side
    260,335.68x = 55,423,298,593
  5. Step 5: Solve for x
    x = 55,423,298,593/260,335.68
  6. Step 6: Final answer
    x = 212,891.67

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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.