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Finding the Fourth Proportional to 123,812.34, 185,749.92 and 57,300.36

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Solution

The fourth proportional to 123,812.34, 185,749.92 and 57,300.36 is: 85,965.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,812.34 : 185,749.92 = 57,300.36 : x
  2. Step 2: Convert to fraction form
    123,812.34/185,749.92 = 57,300.36/x
  3. Step 3: Cross multiply
    123,812.34x = 185,749.92 × 57,300.36
  4. Step 4: Simplify right side
    123,812.34x = 10,643,537,285.97
  5. Step 5: Solve for x
    x = 10,643,537,285.97/123,812.34
  6. Step 6: Final answer
    x = 85,965.08

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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.