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Finding the Fourth Proportional to 105,574.36, 145,687.42 and 57,827.92

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Solution

The fourth proportional to 105,574.36, 145,687.42 and 57,827.92 is: 79,799.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,574.36 : 145,687.42 = 57,827.92 : x
  2. Step 2: Convert to fraction form
    105,574.36/145,687.42 = 57,827.92/x
  3. Step 3: Cross multiply
    105,574.36x = 145,687.42 × 57,827.92
  4. Step 4: Simplify right side
    105,574.36x = 8,424,800,468.77
  5. Step 5: Solve for x
    x = 8,424,800,468.77/105,574.36
  6. Step 6: Final answer
    x = 79,799.68

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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.