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Finding the Fourth Proportional to 78,463.12, 117,714.48 and 23,059.12

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Solution

The fourth proportional to 78,463.12, 117,714.48 and 23,059.12 is: 34,594.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,463.12 : 117,714.48 = 23,059.12 : x
  2. Step 2: Convert to fraction form
    78,463.12/117,714.48 = 23,059.12/x
  3. Step 3: Cross multiply
    78,463.12x = 117,714.48 × 23,059.12
  4. Step 4: Simplify right side
    78,463.12x = 2,714,392,320.06
  5. Step 5: Solve for x
    x = 2,714,392,320.06/78,463.12
  6. Step 6: Final answer
    x = 34,594.50

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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.