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Finding the Fourth Proportional to 131,429.84, 197,137.67 and 75,234.87

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Solution

The fourth proportional to 131,429.84, 197,137.67 and 75,234.87 is: 112,848.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,429.84 : 197,137.67 = 75,234.87 : x
  2. Step 2: Convert to fraction form
    131,429.84/197,137.67 = 75,234.87/x
  3. Step 3: Cross multiply
    131,429.84x = 197,137.67 × 75,234.87
  4. Step 4: Simplify right side
    131,429.84x = 14,831,626,598.38
  5. Step 5: Solve for x
    x = 14,831,626,598.38/131,429.84
  6. Step 6: Final answer
    x = 112,848.25

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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.