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Finding the Fourth Proportional to 75,364.77, 112,961.16 and 30,357.31

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Solution

The fourth proportional to 75,364.77, 112,961.16 and 30,357.31 is: 45,501.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,364.77 : 112,961.16 = 30,357.31 : x
  2. Step 2: Convert to fraction form
    75,364.77/112,961.16 = 30,357.31/x
  3. Step 3: Cross multiply
    75,364.77x = 112,961.16 × 30,357.31
  4. Step 4: Simplify right side
    75,364.77x = 3,429,196,606.47
  5. Step 5: Solve for x
    x = 3,429,196,606.47/75,364.77
  6. Step 6: Final answer
    x = 45,501.32

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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.