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Finding the Fourth Proportional to 145,013.94, 200,105.37 and 81,347.94

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Solution

The fourth proportional to 145,013.94, 200,105.37 and 81,347.94 is: 112,252.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,013.94 : 200,105.37 = 81,347.94 : x
  2. Step 2: Convert to fraction form
    145,013.94/200,105.37 = 81,347.94/x
  3. Step 3: Cross multiply
    145,013.94x = 200,105.37 × 81,347.94
  4. Step 4: Simplify right side
    145,013.94x = 16,278,159,632.44
  5. Step 5: Solve for x
    x = 16,278,159,632.44/145,013.94
  6. Step 6: Final answer
    x = 112,252.38

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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.