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Finding the Fourth Proportional to 131,235.76, 196,857.96 and 42,490

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Solution

The fourth proportional to 131,235.76, 196,857.96 and 42,490 is: 63,736.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,235.76 : 196,857.96 = 42,490 : x
  2. Step 2: Convert to fraction form
    131,235.76/196,857.96 = 42,490/x
  3. Step 3: Cross multiply
    131,235.76x = 196,857.96 × 42,490
  4. Step 4: Simplify right side
    131,235.76x = 8,364,494,720.40
  5. Step 5: Solve for x
    x = 8,364,494,720.40/131,235.76
  6. Step 6: Final answer
    x = 63,736.40

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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.