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Finding the Fourth Proportional to 123,486.32, 170,401 and 69,776

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Solution

The fourth proportional to 123,486.32, 170,401 and 69,776 is: 96,285.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,486.32 : 170,401 = 69,776 : x
  2. Step 2: Convert to fraction form
    123,486.32/170,401 = 69,776/x
  3. Step 3: Cross multiply
    123,486.32x = 170,401 × 69,776
  4. Step 4: Simplify right side
    123,486.32x = 11,889,900,176
  5. Step 5: Solve for x
    x = 11,889,900,176/123,486.32
  6. Step 6: Final answer
    x = 96,285.16

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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.