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Finding the Fourth Proportional to 157,197.30, 216,451.87 and 118,491.31

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Solution

The fourth proportional to 157,197.30, 216,451.87 and 118,491.31 is: 163,155.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,197.30 : 216,451.87 = 118,491.31 : x
  2. Step 2: Convert to fraction form
    157,197.30/216,451.87 = 118,491.31/x
  3. Step 3: Cross multiply
    157,197.30x = 216,451.87 × 118,491.31
  4. Step 4: Simplify right side
    157,197.30x = 25,647,665,628.25
  5. Step 5: Solve for x
    x = 25,647,665,628.25/157,197.30
  6. Step 6: Final answer
    x = 163,155.89

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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.