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Finding the Fourth Proportional to 140,570.40, 193,987.62 and 76,908

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Solution

The fourth proportional to 140,570.40, 193,987.62 and 76,908 is: 106,133.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,570.40 : 193,987.62 = 76,908 : x
  2. Step 2: Convert to fraction form
    140,570.40/193,987.62 = 76,908/x
  3. Step 3: Cross multiply
    140,570.40x = 193,987.62 × 76,908
  4. Step 4: Simplify right side
    140,570.40x = 14,919,199,878.96
  5. Step 5: Solve for x
    x = 14,919,199,878.96/140,570.40
  6. Step 6: Final answer
    x = 106,133.30

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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.