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Finding the Fourth Proportional to 172,011.60, 257,974.20 and 61,177.68

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Solution

The fourth proportional to 172,011.60, 257,974.20 and 61,177.68 is: 91,751.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,011.60 : 257,974.20 = 61,177.68 : x
  2. Step 2: Convert to fraction form
    172,011.60/257,974.20 = 61,177.68/x
  3. Step 3: Cross multiply
    172,011.60x = 257,974.20 × 61,177.68
  4. Step 4: Simplify right side
    172,011.60x = 15,782,263,055.86
  5. Step 5: Solve for x
    x = 15,782,263,055.86/172,011.60
  6. Step 6: Final answer
    x = 91,751.16

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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.