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Finding the Fourth Proportional to 109,661.60, 164,492.40 and 101,788.40

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Solution

The fourth proportional to 109,661.60, 164,492.40 and 101,788.40 is: 152,682.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,661.60 : 164,492.40 = 101,788.40 : x
  2. Step 2: Convert to fraction form
    109,661.60/164,492.40 = 101,788.40/x
  3. Step 3: Cross multiply
    109,661.60x = 164,492.40 × 101,788.40
  4. Step 4: Simplify right side
    109,661.60x = 16,743,418,208.16
  5. Step 5: Solve for x
    x = 16,743,418,208.16/109,661.60
  6. Step 6: Final answer
    x = 152,682.60

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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.