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Finding the Fourth Proportional to 145,448.80, 200,690.40 and 81,784.96

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Solution

The fourth proportional to 145,448.80, 200,690.40 and 81,784.96 is: 112,846.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,448.80 : 200,690.40 = 81,784.96 : x
  2. Step 2: Convert to fraction form
    145,448.80/200,690.40 = 81,784.96/x
  3. Step 3: Cross multiply
    145,448.80x = 200,690.40 × 81,784.96
  4. Step 4: Simplify right side
    145,448.80x = 16,413,456,336.38
  5. Step 5: Solve for x
    x = 16,413,456,336.38/145,448.80
  6. Step 6: Final answer
    x = 112,846.97

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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.