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Finding the Fourth Proportional to 123,193.84, 170,013.27 and 69,477.72

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Solution

The fourth proportional to 123,193.84, 170,013.27 and 69,477.72 is: 95,882.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,193.84 : 170,013.27 = 69,477.72 : x
  2. Step 2: Convert to fraction form
    123,193.84/170,013.27 = 69,477.72/x
  3. Step 3: Cross multiply
    123,193.84x = 170,013.27 × 69,477.72
  4. Step 4: Simplify right side
    123,193.84x = 11,812,134,369.34
  5. Step 5: Solve for x
    x = 11,812,134,369.34/123,193.84
  6. Step 6: Final answer
    x = 95,882.51

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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.