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Finding the Fourth Proportional to 143,395.72, 215,088.72 and 54,646

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Solution

The fourth proportional to 143,395.72, 215,088.72 and 54,646 is: 81,967.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,395.72 : 215,088.72 = 54,646 : x
  2. Step 2: Convert to fraction form
    143,395.72/215,088.72 = 54,646/x
  3. Step 3: Cross multiply
    143,395.72x = 215,088.72 × 54,646
  4. Step 4: Simplify right side
    143,395.72x = 11,753,738,193.12
  5. Step 5: Solve for x
    x = 11,753,738,193.12/143,395.72
  6. Step 6: Final answer
    x = 81,967.15

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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.