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Finding the Fourth Proportional to 143,648.16, 215,384.16 and 54,806.40

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Solution

The fourth proportional to 143,648.16, 215,384.16 and 54,806.40 is: 82,175.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,648.16 : 215,384.16 = 54,806.40 : x
  2. Step 2: Convert to fraction form
    143,648.16/215,384.16 = 54,806.40/x
  3. Step 3: Cross multiply
    143,648.16x = 215,384.16 × 54,806.40
  4. Step 4: Simplify right side
    143,648.16x = 11,804,430,426.62
  5. Step 5: Solve for x
    x = 11,804,430,426.62/143,648.16
  6. Step 6: Final answer
    x = 82,175.99

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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.