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Finding the Fourth Proportional to 171,930.30, 257,895.45 and 153,851.10

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Solution

The fourth proportional to 171,930.30, 257,895.45 and 153,851.10 is: 230,776.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,930.30 : 257,895.45 = 153,851.10 : x
  2. Step 2: Convert to fraction form
    171,930.30/257,895.45 = 153,851.10/x
  3. Step 3: Cross multiply
    171,930.30x = 257,895.45 × 153,851.10
  4. Step 4: Simplify right side
    171,930.30x = 39,677,498,667.50
  5. Step 5: Solve for x
    x = 39,677,498,667.50/171,930.30
  6. Step 6: Final answer
    x = 230,776.65

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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.