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Finding the Fourth Proportional to 56,371.34, 77,615.42 and 47,855.81

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Solution

The fourth proportional to 56,371.34, 77,615.42 and 47,855.81 is: 65,890.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,371.34 : 77,615.42 = 47,855.81 : x
  2. Step 2: Convert to fraction form
    56,371.34/77,615.42 = 47,855.81/x
  3. Step 3: Cross multiply
    56,371.34x = 77,615.42 × 47,855.81
  4. Step 4: Simplify right side
    56,371.34x = 3,714,348,747.35
  5. Step 5: Solve for x
    x = 3,714,348,747.35/56,371.34
  6. Step 6: Final answer
    x = 65,890.73

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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.