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Finding the Fourth Proportional to 171,686.64, 257,448.24 and 53,359.68

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Solution

The fourth proportional to 171,686.64, 257,448.24 and 53,359.68 is: 80,014.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,686.64 : 257,448.24 = 53,359.68 : x
  2. Step 2: Convert to fraction form
    171,686.64/257,448.24 = 53,359.68/x
  3. Step 3: Cross multiply
    171,686.64x = 257,448.24 × 53,359.68
  4. Step 4: Simplify right side
    171,686.64x = 13,737,355,702.96
  5. Step 5: Solve for x
    x = 13,737,355,702.96/171,686.64
  6. Step 6: Final answer
    x = 80,014.12

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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.