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Finding the Fourth Proportional to 109,699.52, 164,549.30 and 39,578.81

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Solution

The fourth proportional to 109,699.52, 164,549.30 and 39,578.81 is: 59,368.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,699.52 : 164,549.30 = 39,578.81 : x
  2. Step 2: Convert to fraction form
    109,699.52/164,549.30 = 39,578.81/x
  3. Step 3: Cross multiply
    109,699.52x = 164,549.30 × 39,578.81
  4. Step 4: Simplify right side
    109,699.52x = 6,512,664,459.69
  5. Step 5: Solve for x
    x = 6,512,664,459.69/109,699.52
  6. Step 6: Final answer
    x = 59,368.22

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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.