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Finding the Fourth Proportional to 56,938.48, 85,459.86 and 28,877.92

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Solution

The fourth proportional to 56,938.48, 85,459.86 and 28,877.92 is: 43,343.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,938.48 : 85,459.86 = 28,877.92 : x
  2. Step 2: Convert to fraction form
    56,938.48/85,459.86 = 28,877.92/x
  3. Step 3: Cross multiply
    56,938.48x = 85,459.86 × 28,877.92
  4. Step 4: Simplify right side
    56,938.48x = 2,467,902,786.64
  5. Step 5: Solve for x
    x = 2,467,902,786.64/56,938.48
  6. Step 6: Final answer
    x = 43,343.32

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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.