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Finding the Fourth Proportional to 72,886.32, 109,344.84 and 22,980.60

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Solution

The fourth proportional to 72,886.32, 109,344.84 and 22,980.60 is: 34,475.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,886.32 : 109,344.84 = 22,980.60 : x
  2. Step 2: Convert to fraction form
    72,886.32/109,344.84 = 22,980.60/x
  3. Step 3: Cross multiply
    72,886.32x = 109,344.84 × 22,980.60
  4. Step 4: Simplify right side
    72,886.32x = 2,512,810,030.10
  5. Step 5: Solve for x
    x = 2,512,810,030.10/72,886.32
  6. Step 6: Final answer
    x = 34,475.74

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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.