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Finding the Fourth Proportional to 56,666, 78,199.08 and 31,514.96

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Solution

The fourth proportional to 56,666, 78,199.08 and 31,514.96 is: 43,490.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,666 : 78,199.08 = 31,514.96 : x
  2. Step 2: Convert to fraction form
    56,666/78,199.08 = 31,514.96/x
  3. Step 3: Cross multiply
    56,666x = 78,199.08 × 31,514.96
  4. Step 4: Simplify right side
    56,666x = 2,464,440,878.24
  5. Step 5: Solve for x
    x = 2,464,440,878.24/56,666
  6. Step 6: Final answer
    x = 43,490.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.