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Finding the Fourth Proportional to 130,167.84, 194,974.90 and 76,802.31

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Solution

The fourth proportional to 130,167.84, 194,974.90 and 76,802.31 is: 115,040.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,167.84 : 194,974.90 = 76,802.31 : x
  2. Step 2: Convert to fraction form
    130,167.84/194,974.90 = 76,802.31/x
  3. Step 3: Cross multiply
    130,167.84x = 194,974.90 × 76,802.31
  4. Step 4: Simplify right side
    130,167.84x = 14,974,522,520.01
  5. Step 5: Solve for x
    x = 14,974,522,520.01/130,167.84
  6. Step 6: Final answer
    x = 115,040.11

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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.