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Finding the Fourth Proportional to 109,398.47, 164,099.01 and 30,507.89

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Solution

The fourth proportional to 109,398.47, 164,099.01 and 30,507.89 is: 45,762.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,398.47 : 164,099.01 = 30,507.89 : x
  2. Step 2: Convert to fraction form
    109,398.47/164,099.01 = 30,507.89/x
  3. Step 3: Cross multiply
    109,398.47x = 164,099.01 × 30,507.89
  4. Step 4: Simplify right side
    109,398.47x = 5,006,314,546.19
  5. Step 5: Solve for x
    x = 5,006,314,546.19/109,398.47
  6. Step 6: Final answer
    x = 45,762.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.