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Finding the Fourth Proportional to 172,577.97, 257,656.50 and 146,013.21

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Solution

The fourth proportional to 172,577.97, 257,656.50 and 146,013.21 is: 217,995.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,577.97 : 257,656.50 = 146,013.21 : x
  2. Step 2: Convert to fraction form
    172,577.97/257,656.50 = 146,013.21/x
  3. Step 3: Cross multiply
    172,577.97x = 257,656.50 × 146,013.21
  4. Step 4: Simplify right side
    172,577.97x = 37,621,252,642.37
  5. Step 5: Solve for x
    x = 37,621,252,642.37/172,577.97
  6. Step 6: Final answer
    x = 217,995.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.