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Finding the Fourth Proportional to 56,738.88, 85,114 and 21,708

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Solution

The fourth proportional to 56,738.88, 85,114 and 21,708 is: 32,564.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,738.88 : 85,114 = 21,708 : x
  2. Step 2: Convert to fraction form
    56,738.88/85,114 = 21,708/x
  3. Step 3: Cross multiply
    56,738.88x = 85,114 × 21,708
  4. Step 4: Simplify right side
    56,738.88x = 1,847,654,712
  5. Step 5: Solve for x
    x = 1,847,654,712/56,738.88
  6. Step 6: Final answer
    x = 32,564.17

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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.