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Finding the Fourth Proportional to 219,956.16, 303,788.16 and 148,211.64

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Solution

The fourth proportional to 219,956.16, 303,788.16 and 148,211.64 is: 204,699.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,956.16 : 303,788.16 = 148,211.64 : x
  2. Step 2: Convert to fraction form
    219,956.16/303,788.16 = 148,211.64/x
  3. Step 3: Cross multiply
    219,956.16x = 303,788.16 × 148,211.64
  4. Step 4: Simplify right side
    219,956.16x = 45,024,941,406.18
  5. Step 5: Solve for x
    x = 45,024,941,406.18/219,956.16
  6. Step 6: Final answer
    x = 204,699.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.