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Finding the Fourth Proportional to 106,315.20, 159,472.80 and 92,491.20

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Solution

The fourth proportional to 106,315.20, 159,472.80 and 92,491.20 is: 138,736.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,315.20 : 159,472.80 = 92,491.20 : x
  2. Step 2: Convert to fraction form
    106,315.20/159,472.80 = 92,491.20/x
  3. Step 3: Cross multiply
    106,315.20x = 159,472.80 × 92,491.20
  4. Step 4: Simplify right side
    106,315.20x = 14,749,830,639.36
  5. Step 5: Solve for x
    x = 14,749,830,639.36/106,315.20
  6. Step 6: Final answer
    x = 138,736.80

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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.