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Finding the Fourth Proportional to 56,514.64, 84,754.32 and 19,570

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Solution

The fourth proportional to 56,514.64, 84,754.32 and 19,570 is: 29,348.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,514.64 : 84,754.32 = 19,570 : x
  2. Step 2: Convert to fraction form
    56,514.64/84,754.32 = 19,570/x
  3. Step 3: Cross multiply
    56,514.64x = 84,754.32 × 19,570
  4. Step 4: Simplify right side
    56,514.64x = 1,658,642,042.40
  5. Step 5: Solve for x
    x = 1,658,642,042.40/56,514.64
  6. Step 6: Final answer
    x = 29,348.89

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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.