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Finding the Fourth Proportional to 100,672.20, 138,866.40 and 72,416.16

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Solution

The fourth proportional to 100,672.20, 138,866.40 and 72,416.16 is: 99,890.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,672.20 : 138,866.40 = 72,416.16 : x
  2. Step 2: Convert to fraction form
    100,672.20/138,866.40 = 72,416.16/x
  3. Step 3: Cross multiply
    100,672.20x = 138,866.40 × 72,416.16
  4. Step 4: Simplify right side
    100,672.20x = 10,056,171,441.02
  5. Step 5: Solve for x
    x = 10,056,171,441.02/100,672.20
  6. Step 6: Final answer
    x = 99,890.25

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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.