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Finding the Fourth Proportional to 72,720, 100,382.18 and 45,857.16

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Solution

The fourth proportional to 72,720, 100,382.18 and 45,857.16 is: 63,300.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,720 : 100,382.18 = 45,857.16 : x
  2. Step 2: Convert to fraction form
    72,720/100,382.18 = 45,857.16/x
  3. Step 3: Cross multiply
    72,720x = 100,382.18 × 45,857.16
  4. Step 4: Simplify right side
    72,720x = 4,603,241,689.41
  5. Step 5: Solve for x
    x = 4,603,241,689.41/72,720
  6. Step 6: Final answer
    x = 63,300.90

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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.