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Finding the Fourth Proportional to 146,442.40, 219,404.40 and 137,111.20

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Solution

The fourth proportional to 146,442.40, 219,404.40 and 137,111.20 is: 205,424.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,442.40 : 219,404.40 = 137,111.20 : x
  2. Step 2: Convert to fraction form
    146,442.40/219,404.40 = 137,111.20/x
  3. Step 3: Cross multiply
    146,442.40x = 219,404.40 × 137,111.20
  4. Step 4: Simplify right side
    146,442.40x = 30,082,800,569.28
  5. Step 5: Solve for x
    x = 30,082,800,569.28/146,442.40
  6. Step 6: Final answer
    x = 205,424.12

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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.