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Finding the Fourth Proportional to 56,216.40, 84,259.68 and 21,133.68

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Solution

The fourth proportional to 56,216.40, 84,259.68 and 21,133.68 is: 31,676.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,216.40 : 84,259.68 = 21,133.68 : x
  2. Step 2: Convert to fraction form
    56,216.40/84,259.68 = 21,133.68/x
  3. Step 3: Cross multiply
    56,216.40x = 84,259.68 × 21,133.68
  4. Step 4: Simplify right side
    56,216.40x = 1,780,717,114.02
  5. Step 5: Solve for x
    x = 1,780,717,114.02/56,216.40
  6. Step 6: Final answer
    x = 31,676.11

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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.