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Finding the Fourth Proportional to 99,900.71, 149,122.31 and 87,289.23

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Solution

The fourth proportional to 99,900.71, 149,122.31 and 87,289.23 is: 130,297.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,900.71 : 149,122.31 = 87,289.23 : x
  2. Step 2: Convert to fraction form
    99,900.71/149,122.31 = 87,289.23/x
  3. Step 3: Cross multiply
    99,900.71x = 149,122.31 × 87,289.23
  4. Step 4: Simplify right side
    99,900.71x = 13,016,772,393.15
  5. Step 5: Solve for x
    x = 13,016,772,393.15/99,900.71
  6. Step 6: Final answer
    x = 130,297.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.