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Finding the Fourth Proportional to 140,780.57, 211,198.39 and 61,894.53

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Solution

The fourth proportional to 140,780.57, 211,198.39 and 61,894.53 is: 92,853.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,780.57 : 211,198.39 = 61,894.53 : x
  2. Step 2: Convert to fraction form
    140,780.57/211,198.39 = 61,894.53/x
  3. Step 3: Cross multiply
    140,780.57x = 211,198.39 × 61,894.53
  4. Step 4: Simplify right side
    140,780.57x = 13,072,024,931.07
  5. Step 5: Solve for x
    x = 13,072,024,931.07/140,780.57
  6. Step 6: Final answer
    x = 92,853.90

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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.