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Finding the Fourth Proportional to 105,107.92, 145,048 and 57,359.68

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Solution

The fourth proportional to 105,107.92, 145,048 and 57,359.68 is: 79,155.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,107.92 : 145,048 = 57,359.68 : x
  2. Step 2: Convert to fraction form
    105,107.92/145,048 = 57,359.68/x
  3. Step 3: Cross multiply
    105,107.92x = 145,048 × 57,359.68
  4. Step 4: Simplify right side
    105,107.92x = 8,319,906,864.64
  5. Step 5: Solve for x
    x = 8,319,906,864.64/105,107.92
  6. Step 6: Final answer
    x = 79,155.85

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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.