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Finding the Fourth Proportional to 171,878.20, 257,841.60 and 53,537.20

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Solution

The fourth proportional to 171,878.20, 257,841.60 and 53,537.20 is: 80,313.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,878.20 : 257,841.60 = 53,537.20 : x
  2. Step 2: Convert to fraction form
    171,878.20/257,841.60 = 53,537.20/x
  3. Step 3: Cross multiply
    171,878.20x = 257,841.60 × 53,537.20
  4. Step 4: Simplify right side
    171,878.20x = 13,804,117,307.52
  5. Step 5: Solve for x
    x = 13,804,117,307.52/171,878.20
  6. Step 6: Final answer
    x = 80,313.37

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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.