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Finding the Fourth Proportional to 56,941.80, 85,412.70 and 51,412.20

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Solution

The fourth proportional to 56,941.80, 85,412.70 and 51,412.20 is: 77,118.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,941.80 : 85,412.70 = 51,412.20 : x
  2. Step 2: Convert to fraction form
    56,941.80/85,412.70 = 51,412.20/x
  3. Step 3: Cross multiply
    56,941.80x = 85,412.70 × 51,412.20
  4. Step 4: Simplify right side
    56,941.80x = 4,391,254,814.94
  5. Step 5: Solve for x
    x = 4,391,254,814.94/56,941.80
  6. Step 6: Final answer
    x = 77,118.30

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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.