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Finding the Fourth Proportional to 140,342.80, 210,597.20 and 51,658.60

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Solution

The fourth proportional to 140,342.80, 210,597.20 and 51,658.60 is: 77,518.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,342.80 : 210,597.20 = 51,658.60 : x
  2. Step 2: Convert to fraction form
    140,342.80/210,597.20 = 51,658.60/x
  3. Step 3: Cross multiply
    140,342.80x = 210,597.20 × 51,658.60
  4. Step 4: Simplify right side
    140,342.80x = 10,879,156,515.92
  5. Step 5: Solve for x
    x = 10,879,156,515.92/140,342.80
  6. Step 6: Final answer
    x = 77,518.45

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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.