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Finding the Fourth Proportional to 109,810.60, 164,719.10 and 39,677.48

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Solution

The fourth proportional to 109,810.60, 164,719.10 and 39,677.48 is: 59,517.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,810.60 : 164,719.10 = 39,677.48 : x
  2. Step 2: Convert to fraction form
    109,810.60/164,719.10 = 39,677.48/x
  3. Step 3: Cross multiply
    109,810.60x = 164,719.10 × 39,677.48
  4. Step 4: Simplify right side
    109,810.60x = 6,535,638,795.87
  5. Step 5: Solve for x
    x = 6,535,638,795.87/109,810.60
  6. Step 6: Final answer
    x = 59,517.38

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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.