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Finding the Fourth Proportional to 117,009.60, 175,546.80 and 77,643.60

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Solution

The fourth proportional to 117,009.60, 175,546.80 and 77,643.60 is: 116,486.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,009.60 : 175,546.80 = 77,643.60 : x
  2. Step 2: Convert to fraction form
    117,009.60/175,546.80 = 77,643.60/x
  3. Step 3: Cross multiply
    117,009.60x = 175,546.80 × 77,643.60
  4. Step 4: Simplify right side
    117,009.60x = 13,630,085,520.48
  5. Step 5: Solve for x
    x = 13,630,085,520.48/117,009.60
  6. Step 6: Final answer
    x = 116,486.90

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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.