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Finding the Fourth Proportional to 75,284.83, 112,269.40 and 65,968.21

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Solution

The fourth proportional to 75,284.83, 112,269.40 and 65,968.21 is: 98,375.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,284.83 : 112,269.40 = 65,968.21 : x
  2. Step 2: Convert to fraction form
    75,284.83/112,269.40 = 65,968.21/x
  3. Step 3: Cross multiply
    75,284.83x = 112,269.40 × 65,968.21
  4. Step 4: Simplify right side
    75,284.83x = 7,406,211,355.77
  5. Step 5: Solve for x
    x = 7,406,211,355.77/75,284.83
  6. Step 6: Final answer
    x = 98,375.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.