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Finding the Fourth Proportional to 239,969.16, 360,020.49 and 105,009.18

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Solution

The fourth proportional to 239,969.16, 360,020.49 and 105,009.18 is: 157,542.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,969.16 : 360,020.49 = 105,009.18 : x
  2. Step 2: Convert to fraction form
    239,969.16/360,020.49 = 105,009.18/x
  3. Step 3: Cross multiply
    239,969.16x = 360,020.49 × 105,009.18
  4. Step 4: Simplify right side
    239,969.16x = 37,805,456,438.10
  5. Step 5: Solve for x
    x = 37,805,456,438.10/239,969.16
  6. Step 6: Final answer
    x = 157,542.98

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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.