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Finding the Fourth Proportional to 54,870.86, 82,283.05 and 17,420.87

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Solution

The fourth proportional to 54,870.86, 82,283.05 and 17,420.87 is: 26,123.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,870.86 : 82,283.05 = 17,420.87 : x
  2. Step 2: Convert to fraction form
    54,870.86/82,283.05 = 17,420.87/x
  3. Step 3: Cross multiply
    54,870.86x = 82,283.05 × 17,420.87
  4. Step 4: Simplify right side
    54,870.86x = 1,433,442,317.25
  5. Step 5: Solve for x
    x = 1,433,442,317.25/54,870.86
  6. Step 6: Final answer
    x = 26,123.93

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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.