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Finding the Fourth Proportional to 140,393.90, 193,744.08 and 76,731.72

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Solution

The fourth proportional to 140,393.90, 193,744.08 and 76,731.72 is: 105,890.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,393.90 : 193,744.08 = 76,731.72 : x
  2. Step 2: Convert to fraction form
    140,393.90/193,744.08 = 76,731.72/x
  3. Step 3: Cross multiply
    140,393.90x = 193,744.08 × 76,731.72
  4. Step 4: Simplify right side
    140,393.90x = 14,866,316,498.22
  5. Step 5: Solve for x
    x = 14,866,316,498.22/140,393.90
  6. Step 6: Final answer
    x = 105,890.05

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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.