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Finding the Fourth Proportional to 140,830.40, 211,322.40 and 57,732.80

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Solution

The fourth proportional to 140,830.40, 211,322.40 and 57,732.80 is: 86,630.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,830.40 : 211,322.40 = 57,732.80 : x
  2. Step 2: Convert to fraction form
    140,830.40/211,322.40 = 57,732.80/x
  3. Step 3: Cross multiply
    140,830.40x = 211,322.40 × 57,732.80
  4. Step 4: Simplify right side
    140,830.40x = 12,200,233,854.72
  5. Step 5: Solve for x
    x = 12,200,233,854.72/140,830.40
  6. Step 6: Final answer
    x = 86,630.68

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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.