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Finding the Fourth Proportional to 109,878.40, 164,817.60 and 102,005.20

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Solution

The fourth proportional to 109,878.40, 164,817.60 and 102,005.20 is: 153,007.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,878.40 : 164,817.60 = 102,005.20 : x
  2. Step 2: Convert to fraction form
    109,878.40/164,817.60 = 102,005.20/x
  3. Step 3: Cross multiply
    109,878.40x = 164,817.60 × 102,005.20
  4. Step 4: Simplify right side
    109,878.40x = 16,812,252,251.52
  5. Step 5: Solve for x
    x = 16,812,252,251.52/109,878.40
  6. Step 6: Final answer
    x = 153,007.80

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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.