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Finding the Fourth Proportional to 78,731.60, 118,111.80 and 31,989.20

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Solution

The fourth proportional to 78,731.60, 118,111.80 and 31,989.20 is: 47,989.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,731.60 : 118,111.80 = 31,989.20 : x
  2. Step 2: Convert to fraction form
    78,731.60/118,111.80 = 31,989.20/x
  3. Step 3: Cross multiply
    78,731.60x = 118,111.80 × 31,989.20
  4. Step 4: Simplify right side
    78,731.60x = 3,778,301,992.56
  5. Step 5: Solve for x
    x = 3,778,301,992.56/78,731.60
  6. Step 6: Final answer
    x = 47,989.65

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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.