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Finding the Fourth Proportional to 171,830.40, 257,526.90 and 153,022.20

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Solution

The fourth proportional to 171,830.40, 257,526.90 and 153,022.20 is: 229,338.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,830.40 : 257,526.90 = 153,022.20 : x
  2. Step 2: Convert to fraction form
    171,830.40/257,526.90 = 153,022.20/x
  3. Step 3: Cross multiply
    171,830.40x = 257,526.90 × 153,022.20
  4. Step 4: Simplify right side
    171,830.40x = 39,407,332,797.18
  5. Step 5: Solve for x
    x = 39,407,332,797.18/171,830.40
  6. Step 6: Final answer
    x = 229,338.54

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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.