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Finding the Fourth Proportional to 123,202.32, 169,865.17 and 102,813.76

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Solution

The fourth proportional to 123,202.32, 169,865.17 and 102,813.76 is: 141,754.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,202.32 : 169,865.17 = 102,813.76 : x
  2. Step 2: Convert to fraction form
    123,202.32/169,865.17 = 102,813.76/x
  3. Step 3: Cross multiply
    123,202.32x = 169,865.17 × 102,813.76
  4. Step 4: Simplify right side
    123,202.32x = 17,464,476,776.04
  5. Step 5: Solve for x
    x = 17,464,476,776.04/123,202.32
  6. Step 6: Final answer
    x = 141,754.45

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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.