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Finding the Fourth Proportional to 171,857.24, 257,702.52 and 100,803.10

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Solution

The fourth proportional to 171,857.24, 257,702.52 and 100,803.10 is: 151,155.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,857.24 : 257,702.52 = 100,803.10 : x
  2. Step 2: Convert to fraction form
    171,857.24/257,702.52 = 100,803.10/x
  3. Step 3: Cross multiply
    171,857.24x = 257,702.52 × 100,803.10
  4. Step 4: Simplify right side
    171,857.24x = 25,977,212,893.81
  5. Step 5: Solve for x
    x = 25,977,212,893.81/171,857.24
  6. Step 6: Final answer
    x = 151,155.77

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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.