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Finding the Fourth Proportional to 78,405.66, 117,628.29 and 34,021.62

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Solution

The fourth proportional to 78,405.66, 117,628.29 and 34,021.62 is: 51,041.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,405.66 : 117,628.29 = 34,021.62 : x
  2. Step 2: Convert to fraction form
    78,405.66/117,628.29 = 34,021.62/x
  3. Step 3: Cross multiply
    78,405.66x = 117,628.29 × 34,021.62
  4. Step 4: Simplify right side
    78,405.66x = 4,001,904,983.63
  5. Step 5: Solve for x
    x = 4,001,904,983.63/78,405.66
  6. Step 6: Final answer
    x = 51,041.02

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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.