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Finding the Fourth Proportional to 172,007.20, 257,933.04 and 61,202.08

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Solution

The fourth proportional to 172,007.20, 257,933.04 and 61,202.08 is: 91,775.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,007.20 : 257,933.04 = 61,202.08 : x
  2. Step 2: Convert to fraction form
    172,007.20/257,933.04 = 61,202.08/x
  3. Step 3: Cross multiply
    172,007.20x = 257,933.04 × 61,202.08
  4. Step 4: Simplify right side
    172,007.20x = 15,786,038,548.72
  5. Step 5: Solve for x
    x = 15,786,038,548.72/172,007.20
  6. Step 6: Final answer
    x = 91,775.45

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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.