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Finding the Fourth Proportional to 171,644.40, 257,485.80 and 53,314.80

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Solution

The fourth proportional to 171,644.40, 257,485.80 and 53,314.80 is: 79,978.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,644.40 : 257,485.80 = 53,314.80 : x
  2. Step 2: Convert to fraction form
    171,644.40/257,485.80 = 53,314.80/x
  3. Step 3: Cross multiply
    171,644.40x = 257,485.80 × 53,314.80
  4. Step 4: Simplify right side
    171,644.40x = 13,727,803,929.84
  5. Step 5: Solve for x
    x = 13,727,803,929.84/171,644.40
  6. Step 6: Final answer
    x = 79,978.16

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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.