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Finding the Fourth Proportional to 155,969.40, 233,735.40 and 137,161.20

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Solution

The fourth proportional to 155,969.40, 233,735.40 and 137,161.20 is: 205,549.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,969.40 : 233,735.40 = 137,161.20 : x
  2. Step 2: Convert to fraction form
    155,969.40/233,735.40 = 137,161.20/x
  3. Step 3: Cross multiply
    155,969.40x = 233,735.40 × 137,161.20
  4. Step 4: Simplify right side
    155,969.40x = 32,059,427,946.48
  5. Step 5: Solve for x
    x = 32,059,427,946.48/155,969.40
  6. Step 6: Final answer
    x = 205,549.47

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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.