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Finding the Fourth Proportional to 71,928.32, 99,264.44 and 40,097.40

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Solution

The fourth proportional to 71,928.32, 99,264.44 and 40,097.40 is: 55,336.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,928.32 : 99,264.44 = 40,097.40 : x
  2. Step 2: Convert to fraction form
    71,928.32/99,264.44 = 40,097.40/x
  3. Step 3: Cross multiply
    71,928.32x = 99,264.44 × 40,097.40
  4. Step 4: Simplify right side
    71,928.32x = 3,980,245,956.46
  5. Step 5: Solve for x
    x = 3,980,245,956.46/71,928.32
  6. Step 6: Final answer
    x = 55,336.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.