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Finding the Fourth Proportional to 123,874.21, 170,998.73 and 83,642.46

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Solution

The fourth proportional to 123,874.21, 170,998.73 and 83,642.46 is: 115,461.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,874.21 : 170,998.73 = 83,642.46 : x
  2. Step 2: Convert to fraction form
    123,874.21/170,998.73 = 83,642.46/x
  3. Step 3: Cross multiply
    123,874.21x = 170,998.73 × 83,642.46
  4. Step 4: Simplify right side
    123,874.21x = 14,302,754,434.08
  5. Step 5: Solve for x
    x = 14,302,754,434.08/123,874.21
  6. Step 6: Final answer
    x = 115,461.92

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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.