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Finding the Fourth Proportional to 171,421.10, 257,131.65 and 53,128.70

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Solution

The fourth proportional to 171,421.10, 257,131.65 and 53,128.70 is: 79,693.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,421.10 : 257,131.65 = 53,128.70 : x
  2. Step 2: Convert to fraction form
    171,421.10/257,131.65 = 53,128.70/x
  3. Step 3: Cross multiply
    171,421.10x = 257,131.65 × 53,128.70
  4. Step 4: Simplify right side
    171,421.10x = 13,661,070,293.36
  5. Step 5: Solve for x
    x = 13,661,070,293.36/171,421.10
  6. Step 6: Final answer
    x = 79,693.05

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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.