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Finding the Fourth Proportional to 109,712.70, 164,569.05 and 103,880.70

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Solution

The fourth proportional to 109,712.70, 164,569.05 and 103,880.70 is: 155,821.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,712.70 : 164,569.05 = 103,880.70 : x
  2. Step 2: Convert to fraction form
    109,712.70/164,569.05 = 103,880.70/x
  3. Step 3: Cross multiply
    109,712.70x = 164,569.05 × 103,880.70
  4. Step 4: Simplify right side
    109,712.70x = 17,095,548,112.34
  5. Step 5: Solve for x
    x = 17,095,548,112.34/109,712.70
  6. Step 6: Final answer
    x = 155,821.05

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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.