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Finding the Fourth Proportional to 109,878.20, 164,817.30 and 90,851.30

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Solution

The fourth proportional to 109,878.20, 164,817.30 and 90,851.30 is: 136,276.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,878.20 : 164,817.30 = 90,851.30 : x
  2. Step 2: Convert to fraction form
    109,878.20/164,817.30 = 90,851.30/x
  3. Step 3: Cross multiply
    109,878.20x = 164,817.30 × 90,851.30
  4. Step 4: Simplify right side
    109,878.20x = 14,973,865,967.49
  5. Step 5: Solve for x
    x = 14,973,865,967.49/109,878.20
  6. Step 6: Final answer
    x = 136,276.95

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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.