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Finding the Fourth Proportional to 201,403.36, 301,447.92 and 148,081.20

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Solution

The fourth proportional to 201,403.36, 301,447.92 and 148,081.20 is: 221,638.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,403.36 : 301,447.92 = 148,081.20 : x
  2. Step 2: Convert to fraction form
    201,403.36/301,447.92 = 148,081.20/x
  3. Step 3: Cross multiply
    201,403.36x = 301,447.92 × 148,081.20
  4. Step 4: Simplify right side
    201,403.36x = 44,638,769,731.10
  5. Step 5: Solve for x
    x = 44,638,769,731.10/201,403.36
  6. Step 6: Final answer
    x = 221,638.65

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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.