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Finding the Fourth Proportional to 89,688, 123,769.44 and 51,984.12

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Solution

The fourth proportional to 89,688, 123,769.44 and 51,984.12 is: 71,738.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,688 : 123,769.44 = 51,984.12 : x
  2. Step 2: Convert to fraction form
    89,688/123,769.44 = 51,984.12/x
  3. Step 3: Cross multiply
    89,688x = 123,769.44 × 51,984.12
  4. Step 4: Simplify right side
    89,688x = 6,434,045,421.29
  5. Step 5: Solve for x
    x = 6,434,045,421.29/89,688
  6. Step 6: Final answer
    x = 71,738.09

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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.