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Finding the Fourth Proportional to 78,679.54, 118,009.59 and 31,887.46

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Solution

The fourth proportional to 78,679.54, 118,009.59 and 31,887.46 is: 47,827.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,679.54 : 118,009.59 = 31,887.46 : x
  2. Step 2: Convert to fraction form
    78,679.54/118,009.59 = 31,887.46/x
  3. Step 3: Cross multiply
    78,679.54x = 118,009.59 × 31,887.46
  4. Step 4: Simplify right side
    78,679.54x = 3,763,026,080.74
  5. Step 5: Solve for x
    x = 3,763,026,080.74/78,679.54
  6. Step 6: Final answer
    x = 47,827.25

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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.