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Finding the Fourth Proportional to 140,352.93, 210,612.77 and 51,668.71

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Solution

The fourth proportional to 140,352.93, 210,612.77 and 51,668.71 is: 77,533.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,352.93 : 210,612.77 = 51,668.71 : x
  2. Step 2: Convert to fraction form
    140,352.93/210,612.77 = 51,668.71/x
  3. Step 3: Cross multiply
    140,352.93x = 210,612.77 × 51,668.71
  4. Step 4: Simplify right side
    140,352.93x = 10,882,090,135.43
  5. Step 5: Solve for x
    x = 10,882,090,135.43/140,352.93
  6. Step 6: Final answer
    x = 77,533.76

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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.