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Finding the Fourth Proportional to 117,985.20, 176,686.20 and 78,327.60

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Solution

The fourth proportional to 117,985.20, 176,686.20 and 78,327.60 is: 117,297.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,985.20 : 176,686.20 = 78,327.60 : x
  2. Step 2: Convert to fraction form
    117,985.20/176,686.20 = 78,327.60/x
  3. Step 3: Cross multiply
    117,985.20x = 176,686.20 × 78,327.60
  4. Step 4: Simplify right side
    117,985.20x = 13,839,405,999.12
  5. Step 5: Solve for x
    x = 13,839,405,999.12/117,985.20
  6. Step 6: Final answer
    x = 117,297.81

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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.