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Finding the Fourth Proportional to 75,857.78, 104,688.51 and 43,602.72

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Solution

The fourth proportional to 75,857.78, 104,688.51 and 43,602.72 is: 60,174.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,857.78 : 104,688.51 = 43,602.72 : x
  2. Step 2: Convert to fraction form
    75,857.78/104,688.51 = 43,602.72/x
  3. Step 3: Cross multiply
    75,857.78x = 104,688.51 × 43,602.72
  4. Step 4: Simplify right side
    75,857.78x = 4,564,703,788.75
  5. Step 5: Solve for x
    x = 4,564,703,788.75/75,857.78
  6. Step 6: Final answer
    x = 60,174.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.