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Finding the Fourth Proportional to 171,801.30, 257,896.35 and 101,720.10

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Solution

The fourth proportional to 171,801.30, 257,896.35 and 101,720.10 is: 152,695.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,801.30 : 257,896.35 = 101,720.10 : x
  2. Step 2: Convert to fraction form
    171,801.30/257,896.35 = 101,720.10/x
  3. Step 3: Cross multiply
    171,801.30x = 257,896.35 × 101,720.10
  4. Step 4: Simplify right side
    171,801.30x = 26,233,242,511.64
  5. Step 5: Solve for x
    x = 26,233,242,511.64/171,801.30
  6. Step 6: Final answer
    x = 152,695.25

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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.