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Finding the Fourth Proportional to 258,898.40, 388,347.04 and 81,420.96

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Solution

The fourth proportional to 258,898.40, 388,347.04 and 81,420.96 is: 122,131.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,898.40 : 388,347.04 = 81,420.96 : x
  2. Step 2: Convert to fraction form
    258,898.40/388,347.04 = 81,420.96/x
  3. Step 3: Cross multiply
    258,898.40x = 388,347.04 × 81,420.96
  4. Step 4: Simplify right side
    258,898.40x = 31,619,588,809.96
  5. Step 5: Solve for x
    x = 31,619,588,809.96/258,898.40
  6. Step 6: Final answer
    x = 122,131.26

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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.