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Finding the Fourth Proportional to 99,385.64, 137,284.45 and 97,939.80

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Solution

The fourth proportional to 99,385.64, 137,284.45 and 97,939.80 is: 135,287.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,385.64 : 137,284.45 = 97,939.80 : x
  2. Step 2: Convert to fraction form
    99,385.64/137,284.45 = 97,939.80/x
  3. Step 3: Cross multiply
    99,385.64x = 137,284.45 × 97,939.80
  4. Step 4: Simplify right side
    99,385.64x = 13,445,611,576.11
  5. Step 5: Solve for x
    x = 13,445,611,576.11/99,385.64
  6. Step 6: Final answer
    x = 135,287.27

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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.