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Finding the Fourth Proportional to 109,381.20, 164,071.80 and 104,715.60

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Solution

The fourth proportional to 109,381.20, 164,071.80 and 104,715.60 is: 157,073.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,381.20 : 164,071.80 = 104,715.60 : x
  2. Step 2: Convert to fraction form
    109,381.20/164,071.80 = 104,715.60/x
  3. Step 3: Cross multiply
    109,381.20x = 164,071.80 × 104,715.60
  4. Step 4: Simplify right side
    109,381.20x = 17,180,876,980.08
  5. Step 5: Solve for x
    x = 17,180,876,980.08/109,381.20
  6. Step 6: Final answer
    x = 157,073.40

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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.