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Finding the Fourth Proportional to 171,953.48, 257,946.63 and 66,780.65

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Solution

The fourth proportional to 171,953.48, 257,946.63 and 66,780.65 is: 100,177.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,953.48 : 257,946.63 = 66,780.65 : x
  2. Step 2: Convert to fraction form
    171,953.48/257,946.63 = 66,780.65/x
  3. Step 3: Cross multiply
    171,953.48x = 257,946.63 × 66,780.65
  4. Step 4: Simplify right side
    171,953.48x = 17,225,844,011.15
  5. Step 5: Solve for x
    x = 17,225,844,011.15/171,953.48
  6. Step 6: Final answer
    x = 100,177.35

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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.