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Finding the Fourth Proportional to 171,157.12, 256,580.16 and 77,611.84

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Solution

The fourth proportional to 171,157.12, 256,580.16 and 77,611.84 is: 116,347.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,157.12 : 256,580.16 = 77,611.84 : x
  2. Step 2: Convert to fraction form
    171,157.12/256,580.16 = 77,611.84/x
  3. Step 3: Cross multiply
    171,157.12x = 256,580.16 × 77,611.84
  4. Step 4: Simplify right side
    171,157.12x = 19,913,658,325.09
  5. Step 5: Solve for x
    x = 19,913,658,325.09/171,157.12
  6. Step 6: Final answer
    x = 116,347.24

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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.