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Finding the Fourth Proportional to 137,082.60, 205,055.22 and 128,684.52

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Solution

The fourth proportional to 137,082.60, 205,055.22 and 128,684.52 is: 192,492.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,082.60 : 205,055.22 = 128,684.52 : x
  2. Step 2: Convert to fraction form
    137,082.60/205,055.22 = 128,684.52/x
  3. Step 3: Cross multiply
    137,082.60x = 205,055.22 × 128,684.52
  4. Step 4: Simplify right side
    137,082.60x = 26,387,432,559.19
  5. Step 5: Solve for x
    x = 26,387,432,559.19/137,082.60
  6. Step 6: Final answer
    x = 192,492.94

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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.