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Finding the Fourth Proportional to 56,946.46, 85,421.94 and 21,404.20

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Solution

The fourth proportional to 56,946.46, 85,421.94 and 21,404.20 is: 32,107.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,946.46 : 85,421.94 = 21,404.20 : x
  2. Step 2: Convert to fraction form
    56,946.46/85,421.94 = 21,404.20/x
  3. Step 3: Cross multiply
    56,946.46x = 85,421.94 × 21,404.20
  4. Step 4: Simplify right side
    56,946.46x = 1,828,388,288.15
  5. Step 5: Solve for x
    x = 1,828,388,288.15/56,946.46
  6. Step 6: Final answer
    x = 32,107.15

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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.