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Finding the Fourth Proportional to 75,322.08, 112,432.92 and 69,840

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Solution

The fourth proportional to 75,322.08, 112,432.92 and 69,840 is: 104,249.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,322.08 : 112,432.92 = 69,840 : x
  2. Step 2: Convert to fraction form
    75,322.08/112,432.92 = 69,840/x
  3. Step 3: Cross multiply
    75,322.08x = 112,432.92 × 69,840
  4. Step 4: Simplify right side
    75,322.08x = 7,852,315,132.80
  5. Step 5: Solve for x
    x = 7,852,315,132.80/75,322.08
  6. Step 6: Final answer
    x = 104,249.84

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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.