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Finding the Fourth Proportional to 140,807.20, 211,364.40 and 78,599.20

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Solution

The fourth proportional to 140,807.20, 211,364.40 and 78,599.20 is: 117,984.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,807.20 : 211,364.40 = 78,599.20 : x
  2. Step 2: Convert to fraction form
    140,807.20/211,364.40 = 78,599.20/x
  3. Step 3: Cross multiply
    140,807.20x = 211,364.40 × 78,599.20
  4. Step 4: Simplify right side
    140,807.20x = 16,613,072,748.48
  5. Step 5: Solve for x
    x = 16,613,072,748.48/140,807.20
  6. Step 6: Final answer
    x = 117,984.54

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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.