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Finding the Fourth Proportional to 171,346.78, 257,020.58 and 46,687.78

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Solution

The fourth proportional to 171,346.78, 257,020.58 and 46,687.78 is: 70,031.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,346.78 : 257,020.58 = 46,687.78 : x
  2. Step 2: Convert to fraction form
    171,346.78/257,020.58 = 46,687.78/x
  3. Step 3: Cross multiply
    171,346.78x = 257,020.58 × 46,687.78
  4. Step 4: Simplify right side
    171,346.78x = 11,999,720,294.51
  5. Step 5: Solve for x
    x = 11,999,720,294.51/171,346.78
  6. Step 6: Final answer
    x = 70,031.78

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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.