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Finding the Fourth Proportional to 105,107.94, 145,011.02 and 80,916.32

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Solution

The fourth proportional to 105,107.94, 145,011.02 and 80,916.32 is: 111,635.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,107.94 : 145,011.02 = 80,916.32 : x
  2. Step 2: Convert to fraction form
    105,107.94/145,011.02 = 80,916.32/x
  3. Step 3: Cross multiply
    105,107.94x = 145,011.02 × 80,916.32
  4. Step 4: Simplify right side
    105,107.94x = 11,733,758,097.85
  5. Step 5: Solve for x
    x = 11,733,758,097.85/105,107.94
  6. Step 6: Final answer
    x = 111,635.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.