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Finding the Fourth Proportional to 260,337.68, 390,060.70 and 142,092

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Solution

The fourth proportional to 260,337.68, 390,060.70 and 142,092 is: 212,894.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,337.68 : 390,060.70 = 142,092 : x
  2. Step 2: Convert to fraction form
    260,337.68/390,060.70 = 142,092/x
  3. Step 3: Cross multiply
    260,337.68x = 390,060.70 × 142,092
  4. Step 4: Simplify right side
    260,337.68x = 55,424,504,984.40
  5. Step 5: Solve for x
    x = 55,424,504,984.40/260,337.68
  6. Step 6: Final answer
    x = 212,894.67

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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.