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Finding the Fourth Proportional to 137,310.80, 205,966.20 and 78,328.40

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Solution

The fourth proportional to 137,310.80, 205,966.20 and 78,328.40 is: 117,492.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,310.80 : 205,966.20 = 78,328.40 : x
  2. Step 2: Convert to fraction form
    137,310.80/205,966.20 = 78,328.40/x
  3. Step 3: Cross multiply
    137,310.80x = 205,966.20 × 78,328.40
  4. Step 4: Simplify right side
    137,310.80x = 16,133,002,900.08
  5. Step 5: Solve for x
    x = 16,133,002,900.08/137,310.80
  6. Step 6: Final answer
    x = 117,492.60

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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.