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Finding the Fourth Proportional to 58,419.42, 87,666.40 and 20,978.70

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Solution

The fourth proportional to 58,419.42, 87,666.40 and 20,978.70 is: 31,481.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,419.42 : 87,666.40 = 20,978.70 : x
  2. Step 2: Convert to fraction form
    58,419.42/87,666.40 = 20,978.70/x
  3. Step 3: Cross multiply
    58,419.42x = 87,666.40 × 20,978.70
  4. Step 4: Simplify right side
    58,419.42x = 1,839,127,105.68
  5. Step 5: Solve for x
    x = 1,839,127,105.68/58,419.42
  6. Step 6: Final answer
    x = 31,481.43

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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.