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Finding the Fourth Proportional to 75,271.68, 112,888.62 and 30,910.68

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Solution

The fourth proportional to 75,271.68, 112,888.62 and 30,910.68 is: 46,358.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,271.68 : 112,888.62 = 30,910.68 : x
  2. Step 2: Convert to fraction form
    75,271.68/112,888.62 = 30,910.68/x
  3. Step 3: Cross multiply
    75,271.68x = 112,888.62 × 30,910.68
  4. Step 4: Simplify right side
    75,271.68x = 3,489,464,008.46
  5. Step 5: Solve for x
    x = 3,489,464,008.46/75,271.68
  6. Step 6: Final answer
    x = 46,358.26

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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.