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Finding the Fourth Proportional to 140,570.74, 193,992.24 and 76,907.08

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Solution

The fourth proportional to 140,570.74, 193,992.24 and 76,907.08 is: 106,134.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,570.74 : 193,992.24 = 76,907.08 : x
  2. Step 2: Convert to fraction form
    140,570.74/193,992.24 = 76,907.08/x
  3. Step 3: Cross multiply
    140,570.74x = 193,992.24 × 76,907.08
  4. Step 4: Simplify right side
    140,570.74x = 14,919,376,721.06
  5. Step 5: Solve for x
    x = 14,919,376,721.06/140,570.74
  6. Step 6: Final answer
    x = 106,134.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.