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Finding the Fourth Proportional to 78,615.15, 117,894.16 and 34,231.20

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Solution

The fourth proportional to 78,615.15, 117,894.16 and 34,231.20 is: 51,334.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,615.15 : 117,894.16 = 34,231.20 : x
  2. Step 2: Convert to fraction form
    78,615.15/117,894.16 = 34,231.20/x
  3. Step 3: Cross multiply
    78,615.15x = 117,894.16 × 34,231.20
  4. Step 4: Simplify right side
    78,615.15x = 4,035,658,569.79
  5. Step 5: Solve for x
    x = 4,035,658,569.79/78,615.15
  6. Step 6: Final answer
    x = 51,334.36

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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.