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Finding the Fourth Proportional to 99,491.64, 137,308.14 and 74,297.40

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Solution

The fourth proportional to 99,491.64, 137,308.14 and 74,297.40 is: 102,537.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,491.64 : 137,308.14 = 74,297.40 : x
  2. Step 2: Convert to fraction form
    99,491.64/137,308.14 = 74,297.40/x
  3. Step 3: Cross multiply
    99,491.64x = 137,308.14 × 74,297.40
  4. Step 4: Simplify right side
    99,491.64x = 10,201,637,800.84
  5. Step 5: Solve for x
    x = 10,201,637,800.84/99,491.64
  6. Step 6: Final answer
    x = 102,537.64

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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.