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Finding the Fourth Proportional to 131,274.66, 196,870.68 and 42,507.66

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Solution

The fourth proportional to 131,274.66, 196,870.68 and 42,507.66 is: 63,748.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,274.66 : 196,870.68 = 42,507.66 : x
  2. Step 2: Convert to fraction form
    131,274.66/196,870.68 = 42,507.66/x
  3. Step 3: Cross multiply
    131,274.66x = 196,870.68 × 42,507.66
  4. Step 4: Simplify right side
    131,274.66x = 8,368,511,929.41
  5. Step 5: Solve for x
    x = 8,368,511,929.41/131,274.66
  6. Step 6: Final answer
    x = 63,748.11

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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.