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Finding the Fourth Proportional to 171,509.76, 257,352.47 and 81,654.13

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Solution

The fourth proportional to 171,509.76, 257,352.47 and 81,654.13 is: 122,523.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,509.76 : 257,352.47 = 81,654.13 : x
  2. Step 2: Convert to fraction form
    171,509.76/257,352.47 = 81,654.13/x
  3. Step 3: Cross multiply
    171,509.76x = 257,352.47 × 81,654.13
  4. Step 4: Simplify right side
    171,509.76x = 21,013,892,041.20
  5. Step 5: Solve for x
    x = 21,013,892,041.20/171,509.76
  6. Step 6: Final answer
    x = 122,523.01

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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.