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Finding the Fourth Proportional to 55,650, 83,475 and 18,714

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Solution

The fourth proportional to 55,650, 83,475 and 18,714 is: 28,071

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,650 : 83,475 = 18,714 : x
  2. Step 2: Convert to fraction form
    55,650/83,475 = 18,714/x
  3. Step 3: Cross multiply
    55,650x = 83,475 × 18,714
  4. Step 4: Simplify right side
    55,650x = 1,562,151,150
  5. Step 5: Solve for x
    x = 1,562,151,150/55,650
  6. Step 6: Final answer
    x = 28,071

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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.