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Finding the Fourth Proportional to 109,259.10, 163,927.05 and 105,419.10

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Solution

The fourth proportional to 109,259.10, 163,927.05 and 105,419.10 is: 158,165.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,259.10 : 163,927.05 = 105,419.10 : x
  2. Step 2: Convert to fraction form
    109,259.10/163,927.05 = 105,419.10/x
  3. Step 3: Cross multiply
    109,259.10x = 163,927.05 × 105,419.10
  4. Step 4: Simplify right side
    109,259.10x = 17,281,042,076.66
  5. Step 5: Solve for x
    x = 17,281,042,076.66/109,259.10
  6. Step 6: Final answer
    x = 158,165.70

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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.