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Finding the Fourth Proportional to 203,423.30, 305,134.95 and 137,068.10

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Solution

The fourth proportional to 203,423.30, 305,134.95 and 137,068.10 is: 205,602.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,423.30 : 305,134.95 = 137,068.10 : x
  2. Step 2: Convert to fraction form
    203,423.30/305,134.95 = 137,068.10/x
  3. Step 3: Cross multiply
    203,423.30x = 305,134.95 × 137,068.10
  4. Step 4: Simplify right side
    203,423.30x = 41,824,267,840.10
  5. Step 5: Solve for x
    x = 41,824,267,840.10/203,423.30
  6. Step 6: Final answer
    x = 205,602.15

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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.