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Finding the Fourth Proportional to 78,108.60, 117,168.36 and 31,361.47

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Solution

The fourth proportional to 78,108.60, 117,168.36 and 31,361.47 is: 47,044.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,108.60 : 117,168.36 = 31,361.47 : x
  2. Step 2: Convert to fraction form
    78,108.60/117,168.36 = 31,361.47/x
  3. Step 3: Cross multiply
    78,108.60x = 117,168.36 × 31,361.47
  4. Step 4: Simplify right side
    78,108.60x = 3,674,572,007.09
  5. Step 5: Solve for x
    x = 3,674,572,007.09/78,108.60
  6. Step 6: Final answer
    x = 47,044.40

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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.