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Finding the Fourth Proportional to 123,706.50, 185,313.99 and 61,186.18

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Solution

The fourth proportional to 123,706.50, 185,313.99 and 61,186.18 is: 91,657.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,706.50 : 185,313.99 = 61,186.18 : x
  2. Step 2: Convert to fraction form
    123,706.50/185,313.99 = 61,186.18/x
  3. Step 3: Cross multiply
    123,706.50x = 185,313.99 × 61,186.18
  4. Step 4: Simplify right side
    123,706.50x = 11,338,655,148.66
  5. Step 5: Solve for x
    x = 11,338,655,148.66/123,706.50
  6. Step 6: Final answer
    x = 91,657.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.