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Finding the Fourth Proportional to 137,119.80, 205,679.70 and 116,999.40

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Solution

The fourth proportional to 137,119.80, 205,679.70 and 116,999.40 is: 175,499.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,119.80 : 205,679.70 = 116,999.40 : x
  2. Step 2: Convert to fraction form
    137,119.80/205,679.70 = 116,999.40/x
  3. Step 3: Cross multiply
    137,119.80x = 205,679.70 × 116,999.40
  4. Step 4: Simplify right side
    137,119.80x = 24,064,401,492.18
  5. Step 5: Solve for x
    x = 24,064,401,492.18/137,119.80
  6. Step 6: Final answer
    x = 175,499.10

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1.5x scale

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.