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Finding the Fourth Proportional to 203,547.28, 305,371.72 and 61,389.09

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Solution

The fourth proportional to 203,547.28, 305,371.72 and 61,389.09 is: 92,098.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,547.28 : 305,371.72 = 61,389.09 : x
  2. Step 2: Convert to fraction form
    203,547.28/305,371.72 = 61,389.09/x
  3. Step 3: Cross multiply
    203,547.28x = 305,371.72 × 61,389.09
  4. Step 4: Simplify right side
    203,547.28x = 18,746,492,079.27
  5. Step 5: Solve for x
    x = 18,746,492,079.27/203,547.28
  6. Step 6: Final answer
    x = 92,098.96

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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.