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Finding the Fourth Proportional to 75,433.77, 112,978.40 and 36,018.63

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Solution

The fourth proportional to 75,433.77, 112,978.40 and 36,018.63 is: 53,945.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,433.77 : 112,978.40 = 36,018.63 : x
  2. Step 2: Convert to fraction form
    75,433.77/112,978.40 = 36,018.63/x
  3. Step 3: Cross multiply
    75,433.77x = 112,978.40 × 36,018.63
  4. Step 4: Simplify right side
    75,433.77x = 4,069,327,007.50
  5. Step 5: Solve for x
    x = 4,069,327,007.50/75,433.77
  6. Step 6: Final answer
    x = 53,945.69

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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.